Free Printable A1-CHAPTER 4 TEST 2025-26

1.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

2.

Select all of the following equations in point-slope form.

a)

y - 2 = 5(x - 2)

b)

3x + 2y = 12

c)

y + 2 = 1/4(x + 4)

d)

y = 4x + 6

e)

2y = 5x - 7

3.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

4.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

5.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

6.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

7.

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

8.

Write the equation of the line

in Point-Slope form that goes through

the point (10, 5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

9.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

10.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y +7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y+ 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

11.

Write an equation in point-slope form of the line that passes through the given point and has the given slope: (–2, –1); m = –3

a)

y - 1 = - 3 (x - 2)

b)

y +2 = - 3 (x + 1)

c)

y + 2 = - 3 (x + 1)

d)

y + 1 = - 3 (x + 2)

12.

Write an equation in point-slope form of the line that passes through the given point and has the given slope: (1, 3); m = 5

a)

y - 3 = 5 (x - 1)

b)

y - 1 = 5 ( x - 3)

c)

y + 3 = 5 (x + 1)

d)

y + 1 = 5 ( x + 3)

13.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

14.

Write the equation of the line in point-slope form using the top point on the graph.

a)

y - 2 = 1/2(x - 8)

b)

y + 2 = 1/2(x - 8)

c)

y + 2 = 1/2(x + 8)

d)

y - 2 = -2(x + 8)

15.

Which equations describe the line? Select EACH correct answer.

a)

y - 1 = -4(x - 6)

b)

y - 2 = -4(x + 1)

c)

y - 6 = -4(x - 1)

d)

y + 6 = -4(x - 1)

e)

y + 1 = -4(x - 2)

16.

Write the equation of the line using the higher point on the graph.

a)

y-1=\frac{1}{3}\left(x-5\right)

b)

$y+1=-\frac{1}{3}\left(x-5\right)$

c)

$y+1=\frac{1}{3}\left(x-5\right)$

d)

$y-5=\frac{1}{3}\left(x+1\right)$

17.

What is the equation of the line?

a)

y = 5

b)

y = -5

c)

x = -5

d)

y = -4

18.

Find the x - intercept for the equation: 3x + 2y = 12

a)

-4

b)

2

c)

4

d)

-2

19.

Find the y-intercept of the equation 3x + 2y = 12

a)

4

b)

6

c)

-6

d)

-2

20.

Find the x-intercept for the equation 5x + 4y = 20

a)

5

b)

4

c)

-4

d)

-5

21.

Find the y-intercept for the equation 5x + 4y = 20

a)

-5

b)

5

c)

-4

d)

4

22.

Find the x-intercept of the equation x + y = -8

a)

0

b)

-5

c)

-8

d)

-2

23.

Find the y-intercept of the equation x + y = -8

a)

-8

b)

-2

c)

4

d)

0

24.

Find the x-intercept of the equation x - 4y = 8

a)

4

b)

-4

c)

8

d)

-8

25.

Find the y-intercept of the equation x - 4y = 8

a)

8

b)

2

c)

-2

d)

1/2

26.

Find the x-intercept of the equation 5x = 15 - 3y

a)

-3

b)

-5

c)

5

d)

3

27.

Find the y-intercept of the equation 5x = 15 - 3y

a)

5

b)

-5

c)

15

d)

-15

28.

Find the x-intercept of the equation y + 8 = 2x

a)

1

b)

-2

c)

4

d)

-4

29.

Find the y-intercept of the equation y + 8 = 2x

a)

-8

b)

2

c)

-2

d)

8

30.

Find the x-intercept of the equation 4y = 12 + 6x

a)

12

b)

-2

c)

6

d)

2

31.

Find the y-intercept of the equation 4y = 12 + 6x

a)

-2

b)

-3

c)

3

d)

2

32.

If a line has a slope of 3/4 a line that is parallel has a slope of what?

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

33.

If a line has a slope of -5/6 a line that is parallel has a slope of what?

a)

-5/6

b)

6/5

c)

5/6

d)

-6/5

34.

If a line has a slope of 3 a line that is parallel has a slope of what?

a)

3

b)

1/3

c)

-3

d)

-1/3

35.

If a line has a slope of 2/3 a line that is perpendicular has a slope of what?

a)

-3/2

b)

3/2

c)

2/3

d)

-2/3

36.

If a line has a slope of -1/7 a line that is perpendicular has a slope of what?

a)

7

b)

-7

c)

-1/7

d)

1/7

37.

If a line has a slope of 4/7 a line that is perpendicular has a slope of what?

a)

-7/4

b)

7/4

c)

4/7

d)

-4/7

38.

If a line has a slope of 1/10 a line that is parallel has a slope of what?

a)

1/10

b)

-1/10

c)

10

d)

-10

39.

If a line has a slope of 7/3 a line that is parallel has a slope of what?

a)

7/3

b)

-7/3

c)

3/7

d)

-3/7

40.

If a line has a slope of 7/3 a line that is perpendicular has a slope of what?

a)

-3/7

b)

3/7

c)

7/3

d)

-7/3

41.

If a line has a slope of 6 a line that is perpendicular has a slope of what?

a)

-1/6

b)

1/6

c)

6

d)

-6

42.

If a line has a slope of 1/23 a line that is perpendicular has a slope of what?

a)

-23

b)

23

c)

1/23

d)

-1/23

43.

If a line has a slope of 62/63 a line that is parallel has a slope of what?

a)

62/63

b)

-62/63

c)

-63/62

d)

63/62

44.

If a line has a slope of 1000 a line that is parallel has a slope of what?

a)

1000

b)

-1000

c)

1/1000

d)

-1/1000

45.

If a line has a slope of -8/9 a line that is perpendicular has a slope of what?

a)

9/8

b)

-9/8

c)

8/9

d)

-8/9

46.

If a line has a slope of 0 a line that is perpendicular has a slope of what?

a)

undefined

b)

0

c)

-1

d)

1

47.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

48.

-6x + y = 2
6x + y = 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

49.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

50.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

51.

y = 3/2x + 2
y = 2/3x + 6
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

52.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

53.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

54.

Are the lines parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

55.

y = ¹/₃x + 2
y = 4x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

56.

Which line is perpendicular to
y = 2x - 7 ?

a)

y = -2x + 8

b)

y = ¹/₂x - 7

c)

y = ^-1/₂x + 2

d)

y = 2x - 3

57.

Which line is perpendicular to
y = x + 9 ?

a)

y = - x + 8

b)

y = ¹/₂x + 9

c)

y = ^-1/₂x + 9

d)

y = x - 9

58.

Which line is parallel to
y = 2x - 7 ?

a)

y = -2x + 8

b)

y = ¹/₂x - 7

c)

y = ^-1/₂x + 2

d)

y = 2x - 3

59.

What slope is parallel to:
m = ³/₄

a)

⁴/₃

b)

³/₄

c)

^-3/₄

d)

^-4/₃

60.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

61.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

62.

What slope is parallel to:
m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

63.

What is the slope of a line perpendicular to 5?

a)

5

b)

1/5

c)

-1/5

d)

-5

64.

What is the slope of a line perpendicular to -10/3

a)

-10/3

b)

10/3

c)

3/10

d)

-3/10

65.

Parallel lines cross one another, or intersect.

a)

true

b)

false

66.

Are these lines parallel?

y = (-1/2)x + 1

y = (1/2)x - 5

a)

YES

b)

NO

67.

Are these lines parallel?
y = 12x + 4
y = 12x +14

a)

YES

b)

NO

68.

Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12

a)

YES

b)

NO

69.

_{What is the y-intercept of the line?}

a)

(0,¹/₂)

b)

(0,1)

c)

(0, ^-1/2)

d)

(0, -1)

70.

^{What is the x- intercept of the line?}

a)

(1, 0)

b)

(2, 0)

c)

( -1, 0)

d)

(-2, 0)

71.

What is the y-intercept?

a)

(0,7)

b)

(0, 0)

c)

(0,1)

d)

(0, 2)

72.

What are the x- and y- intercepts, respectively, on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

73.

Give the y-interecept
3x + y = 5

a)

(-3, 0)

b)

(0,5)

c)

(5, 0)

d)

(0, -3)

74.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

75.

Name the x- and y-intercepts for the equation:
2x + y = 6

a)

(0, 3) and (6, 0)

b)

(0, -3) and (-6, 0)

c)

(3, 0) and (0, 6)

d)

(-3, 0) and (0, -6)

76.

What's the definition of x-intercept?

a)

Where the graph crosses the x axis

b)

where the graph crosses the y axis

77.

Generally, how do you solve for the x-intercept?

a)

Set x=0, then solve

b)

Set y=0, then solve

78.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

79.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

80.

Give the y-intercept

a)

(2,0)

b)

(-2,0)

c)

(0,-2)

d)

there is no y-intercept

81.

Which ordered pair could represent a y-intercept on a graph?

a)

(6, 0)

b)

(0, 4)

c)

(-1, 3)

d)

(2, 0)

82.

What's the definition of y-intercept?

a)

Where the graph crosses the x axis

b)

where the graph crosses the y axis

83.

Generally, how do you solve for the y-intercept?

a)

Set x=0, then solve

b)

Set y=0, then solve

84.

At the x intercept the value of y is _______.

a)

1

b)

0

c)

x

d)

y

85.

At the y intercept the value of x is _______________

a)

x

b)

y

c)

1

d)

0

86.

How many points do you need to graph a linear equation?

a)

0

b)

1

c)

2

d)

3

e)

Too many!

87.

The point where the line crosses the x-axis is called the:

a)

origin

b)

x-intercept

c)

y-intercept

d)

slope

88.

The point where the line crosses the y-axis is called the:

a)

origin

b)

x-intercept

c)

y-intercept

d)

slope

89.

Graph

a)

b)

c)

d)

90.

Graph

a)

b)

c)

d)

91.

Graph

a)

b)

c)

d)

92.

What is the x-intercept of:
-3x + 2y = 18

a)

6

b)

-6

c)

9

d)

-9

93.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

94.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

95.

Determine the equation of a line perpendicular to y=-3x-2 and going through the point (9, 2), in slope-intercept form.

a)

$y=\frac{1}{3}x-3$

b)

$y=-\frac{1}{3}x-9$

c)

$y=\frac{1}{3}x-1$

d)

$y=-3x-9$

96.

Write an equation that is parallel to
y = -2x + 4
and runs through the point (-3, 2 )

a)

y = - 2x - 4

b)

y = - 2x - 8

c)

y = - 2x + 4

97.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

98.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

99.

y = 3/2x + 2
y = 2/3x + 6
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

100.

Which of the following lines goes through the point (0, 4) and is PARALLEL to y = 5x - 3?

a)

$y=\frac{1}{5}x-3$

b)

$y=5x-7$

c)

$y=5x+4$

d)

$y=-5x-3$

101.

Write the equation of a line PERPENDICULAR to y = -1/3x + 5 and passes through the point (6,4)

a)

$y=-\frac{1}{3}x+14$

b)

$y=3x+22$

c)

$y=-\frac{1}{3}x-10$

d)

$y=3x-14$

102.

Write an equation that is PARALLEL to the line y = x - 5 through (1, -2)

a)

$y=-3x+1$

b)

$y=x-3$

c)

$y=x+1$

d)

$y=3x+1$

103.

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

a)

y = (-1/3)x - 1

b)

y = (1/3)x - 2

c)

y = -3x + 12

d)

y = 3x - 1

104.

Write an equation of a line that passes through the point (7,10) and is perpendicular to the line y = (1/2)x - 9

a)

y = -2x - 24

b)

y = -2x + 12

c)

y = -2x + 24

d)

y = (1/2)x - 12

105.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

106.

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

a)

y = (-1/3)x - 1

b)

y = (1/3)x - 2

c)

y = -3x + 12

d)

y = 3x - 1

107.

Which is the equation of the line that is PARALLEL to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

HINT: PLUG (0,-2) AND THE PARALLEL SLOPE INTO y=mx+b. SOLVE FOR b AND REWRITE THE EQUATION IN y=mx+b.

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

108.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

109.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

110.

Select the two lines that are parallel.

a)

$y=4x-2$

b)

$y=-\frac{1}{4}x$

c)

$y=-4x+1$

d)

None are parallel.

111.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

112.

Are the lines parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

113.

Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)

a)

y = 2/3x +3

b)

y = -1/3x + 3

c)

y = 1/3x + 3

d)

y = -5/3x + 3

114.

What is the slope of the equation?
y = -3x + 4

a)

-3

b)

4

c)

-4

d)

3

115.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

116.

Write the equation of the line that passes through (5, 8) and is parallel to the line y = 4x – 10.

a)

y = 4x + 28

b)

y = 4x - 12

c)

$y\ =\ -\frac{1}{4}x\ +\ 28$

d)

$y\ =\ -\frac{1}{4}x\ -\ 12$

117.

Write an equation of a line that is perpendicular to y=3x+4 and passes through (-9, 8).

a)

$y=\frac{1}{3}x+5$

b)

$y=\frac{1}{3}x+11$

c)

$y=-\frac{1}{3}x+5$

d)

$y=-\frac{1}{3}x+11$

118.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

119.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

120.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

121.

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 and has an x-intercept of -2?

a)

y = 4x - 2

b)

y = 4x + 8

c)

y = 7/2x + 7

d)

y = -1/4x + 1/2

122.

Which of the following represents the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2?

a)

y = 2x + 13

b)

y = 2x + 5

c)

y = -1/2x + 3

d)

y = -1/4x + 11/2

123.

Which equation describes a line that is perpendicular to the line y = -2/7x + 4/7 and contains the point (-6, 5)?

a)

y = 7/2x + 26

b)

y = 7/2x - 16

c)

y = 7/2x - 26

d)

y = 7/2x + 16

124.

Which equation is parallel to the x-axis and goes through the point (2, 5)?

a)

x = 2

b)

x = 5

c)

y = 2

d)

y = 5

125.

Write the equation of a line that is perpendicular to the x-axis and goes through the point (-3, 3).

a)

x = 3

b)

x = -3

c)

y = 3

d)

y = -3

126.

Write an equation for a line perpendicular to

y = -5x + 3 through (-5, -4)

a)

y = -3x + 1/5

b)

y = -3x - 1/5

c)

y = 1/5x - 3

d)

y = -1/5x - 3

127.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

128.

Which of the following lines is PARALLEL to the graph of $y=6x-3$ ?

a)

$y=-6x+5$

b)

$y=-\frac{1}{6}x-3$

c)

$y=6x+1$

d)

$y=\frac{1}{6}x-3$

129.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

130.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

131.

What is the equation of the red graph pictured?

a)

y = -4

b)

x = -4

c)

y = 4

d)

x = 4

132.

What is the equation of the red graph pictured?

a)

y = 3

b)

x = 3

c)

y = -3

d)

x = -3

133.

Does the following equation represent a vertical line, a horizontal line, or neither?

x = 4

a)

vertical

b)

horizontal

c)

neither

134.

Does the following equation represent a vertical line, a horizontal line, or neither?

y = −3

a)

vertical

b)

horizontal

c)

neither

135.

What is the equation of a line with an undefined slope that goes through point
(-3,5)?

a)

x = -3

b)

x = 5

c)

y = -3

d)

y = 5

136.

What is the equation of a line with a zero slope that goes through the point
(6, 7) ?

a)

x = 6

b)

x = 7

c)

y = 6

d)

y = 7

137.

Which type of line runs parallel to the y-axis?

a)

Horizontal line

b)

Vertical line

c)

Both

d)

Neither

138.

Which type of line runs parallel to the x-axis?

a)

Horizontal line

b)

Vertical line

c)

Both

d)

Neither

139.

Vertical or horizontal?
Slope of 0

a)

vertical

b)

horizontal

c)

neither

140.

Which is the correct graph for y = 3?

a)

A

b)

B

c)

C

d)

D

141.

Identify the following as vertical, horizontal or neither

A line that has an undefined slope

a)

Vertical

b)

Horizontal

c)

Neither

142.

Identify the following as vertical, horizontal or neither

A line in the form of

y=#

a)

Vertical

b)

Horizontal

c)

Neither

143.

Identify the following as vertical, horizontal or neither

A line in the form of

x=#

a)

Vertical

b)

Horizontal

c)

Neither

144.

What is the slope of the line $y=-2$ ?

a)

2

b)

-2

c)

undefined

d)

0

145.

What is the slope of the line $x=-2$ ?

a)

2

b)

-2

c)

undefined

d)

0

146.

The line $x=2$ is...

a)

a vertical line with slope of 0

b)

a vertical line with an undefined slope

c)

a horizontal line with an undefined slope

d)

a horizontal line with a slope of 0

e)

a straight line with a slope of 2.

147.

The line $y=-3$ is...

a)

a vertical line with slope of 0

b)

a vertical line with an undefined slope

c)

a horizontal line with an undefined slope

d)

a horizontal line with a slope of 0

e)

a straight line with a slope of -3.

148.

Which is the correct graph for x = −4?

a)

A

b)

B

c)

C

d)

D

149.

What is the equation for the line in graph above.

a)

x = 2

b)

x = -2

c)

y = -2

d)

y = 2

150.

What is the equation for the line in graph above.

a)

x = 3

b)

x = -3

c)

y = 2

d)

y = 3

151.

What is the equation for the line in graph above.

a)

x = 4

b)

x = -4

c)

x = 5

d)

y = 5

152.

What is the equation for the line in graph above.

a)

x = -2

b)

x = 2

c)

y = 2

d)

y = -2

153.

Find the graph for the equation below,

y\ =\ \ 5

a)

b)

c)

d)

154.

Find the graph for the equation,

x\ =\ -5

a)

b)

c)

d)

155.

Find the graph of the equation,

x\ =\ 0

a)

b)

c)

d)

156.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

157.

Select all of the following equations in point-slope form.

a)

y - 2 = 5(x - 2)

b)

3x + 2y = 12

c)

y + 2 = 1/4(x + 4)

d)

y = 4x + 6

e)

2y = 5x - 7

158.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

159.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

160.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

161.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

162.

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

163.

For the equation
y - 3 = 2(x + 4),
which of the following is true?

a)

The line has m = 2 passing through the point (4, -3)

b)

The line has m = 2 passing through the point (3, -4)

c)

The line has m = 2 passing through the point (-4, 3)

d)

The line has m = 2 passing through the point (-3, 4)

164.

m= 5

(2, 4)

a)

y - 2= 5(x - 4)

b)

y - 4= 5(x - 2)

c)

y- 5 = 4(x - 2)

d)

y - 2 = 4(x - 5)

165.

m= 3

(1, 7)

a)

y - 7 = 3( x - 1)

b)

y - 1 = 3( x - 7)

c)

y - 3 = 3( x - 1)

d)

y - 1 = 7( x - 3)

166.

m= 3

(1, 7)

a)

y - 7 = 3( x - 1)

b)

y - 1 = 3( x - 7)

c)

y - 3 = 3( x - 1)

d)

y - 1 = 7( x - 3)

167.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

168.

Select the equation represents a line with a slope of 2

that passes through the point $\left(9,-6\right)$

a)

$y+6=2\left(x-9\right)$

b)

$y-6=2\left(x+9\right)$

c)

$y-6=2\left(x-9\right)$

d)

$y+6=2\left(x+9\right)$

169.

$\left(8,-1\right)\ and\ \left(-5,6\right)$

Find the equation of the line passing through the given points in point-slope form using the first point to write the equation.

a)

$y+1=-\frac{7}{12}\left(x-8\right)$

b)

$y-1=-\frac{7}{12}\left(x-8\right)$

c)

$y+1=-\frac{7}{12}\left(x+8\right)$

d)

$y-1=-\frac{7}{12}\left(x+8\right)$

170.

$\left(-9,-3\right)\ and\ \left(3,0\right)$

Find the equation of the line passing through the given points in point-slope form using the first point to write the equation.

a)

$y+3=\frac{1}{4}\left(x-9\right)$

b)

$y-3=\frac{1}{4}\left(x-9\right)$

c)

$y+3=\frac{1}{4}\left(x+9\right)$

d)

$y-3=\frac{1}{4}\left(x+9\right)$

171.

$\left(-4,3\right)\ and\ \left(5,2\right)$

Find the equation of the line passing through the given points in point-slope form using the first point to write the equation.

a)

$y-3=\frac{1}{9}\left(x+4\right)$

b)

$y-3=-\frac{1}{9}\left(x-4\right)$

c)

$y+3=-\frac{1}{9}\left(x+4\right)$

d)

$y-3=-\frac{1}{9}\left(x+4\right)$

172.

$\left(-1,0\right)\ and\ \left(-6,9\right)$

Find the equation of the line passing through the given points in point-slope form using the first point to write the equation.

a)

$y=-\frac{5}{9}\left(x+1\right)$

b)

$y=-\frac{9}{5}\left(x+1\right)$

c)

$y+6=-\frac{9}{5}\left(x+9\right)$

d)

$y+6=-\frac{9}{5}\left(x-9\right)$

173.

Write the equation of the line with slope -2 through the point (7, −1).

a)

y = −2x + 15

b)

y = −2x − 15

c)

y = −2x + 13

d)

y = −2x − 13

174.

Write the equation of the line with a slope of 2/3 that goes through the point (-6,10).

a)

$y-6=\frac{2}{3}\left(x-10\right)$

b)

$y+6=\frac{2}{3}\left(x+10\right)$

c)

$y+10=\frac{2}{3}\left(x-6\right)$

d)

$y-10=\frac{2}{3}\left(x+6\right)$

175.

Which equation in standard form has a graph that passes through the point $\left(-4,2\right)$ and has a slope of $\frac{9}{2}$ ?

a)

$9x-2y=36$

b)

$9x-2y=26$

c)

$9x-2y=-40$

d)

$9x-2y=-10$

176.

Write the equation of the line with slope 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

177.

Write the equation of the line with slope 3/5 through the point (20, 6).

a)

y = 3/5x - 6

b)

y = 3/5x +18

c)

y = 3/5x - 18

d)

y = 3/5x +6

178.

Write the equation of the line with slope -2 through the point (7, −1).

a)

y = −2x + 15

b)

y = −2x − 15

c)

y = −2x + 13

d)

y = −2x − 13

179.

Write the equation of the line with slope -2 through the point (7, −1).

a)

y = −2x + 15

b)

y = −2x − 15

c)

y = −2x + 13

d)

y = −2x − 13

180.

Write the equation of a line given:

m = ²/₃ through the point (-6, 1)

a)

y = ²/₃x + 7

b)

y = ²/₃x + 6

c)

y = ²/₃x + 5

d)

y = ²/₃x + 4

181.

Write the equation of a line given:

m = ^-1/₂ through the point (-6, 1)

a)

y = ^-1/₂x - 3

b)

y = ^-1/₂x - 2

c)

y = ^-1/₂x - 1

d)

y = ^-1/₂ x

182.

Write the equation of a line given:

m = 2 through the point (2, 5)

a)

y = 2x

b)

y = 2x + 1

c)

y = 2x + 2

d)

y = 2x + 3

183.

Write the equation of a line given:

m = -1 through the point (2, 3)

a)

y = -x + 3

b)

y = -x + 4

c)

y = -x + 5

d)

y = -x + 6

184.

Write the equation of a line given:

m = -2 through the point (3, -1)

a)

y = -2x + 3

b)

y = -2x + 4

c)

y = -2x + 5

d)

y = -2x + 6

185.

Write the equation of a line given:

m = ⁵/₄ through the point (8, 9)

a)

y = ⁵/₄x + 1

b)

y = ⁵/₄x

c)

y = ⁵/₄x - 1

d)

y = ⁵/₄x + 2

186.

Write the equation of a line given:

m = ^-4/₃ through the point (-9, 7)

a)

y = ^-4/₃x - 2

b)

y = ^-4/₃x - 3

c)

y = ^-4/₃x - 4

d)

y = ^-4/₃x - 5

187.

Write the equation of a line given:

m = ³/₂ through the point (-2, 0)

a)

y = ³/₂x + 3

b)

y = ³/₂x + 4

c)

y = ³/₂x + 5

d)

y = ³/₂x + 6

188.

Write the equation of a line given:

m = ¹/₄ through the point (8, 5)

a)

y = ¹/₄x + 3

b)

y = ¹/₄x + 4

c)

y = ¹/₄x + 5

d)

y = ¹/₄x + 6

189.

Write the equation of a line given:

m = 1 through the point (-5, -7)

a)

y = x - 1

b)

y = x - 2

c)

y = x - 3

d)

y = x - 4

190.

Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)

a)

y = 2/3x +3

b)

y = -1/3x + 3

c)

y = 1/3x + 3

d)

y = -5/3x + 3

191.

Solve for y:
5x + y = -10

a)

y = 5x + 10

b)

y = -5x - 10

c)

y = 2

d)

y = -5

192.

Solve for y:
3x + y = 12

a)

y = -3x +12

b)

x = y + 4

c)

x = y + 12

d)

y = 3x -12

193.

Solve for y:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

194.

Solve for y:
4x + 3y = 9

a)

y = -3/4x + 3

b)

y = -4x + 9

c)

y = -4/3x + 3

d)

3y = -4x + 9

195.

Solve for y:
y + 2 = 3x

a)

y = 2x + 3

b)

y= 3x +2

c)

y= 3x -2

d)

y= 6x

196.

Solve for y
5x - y = 6

a)

y= 5x-6

b)

Y= -5X +6

c)

Y=5X+6

d)

Y=-5X-6

197.

Solve for y:
3y -9 = 18x

a)

y=6x-3

b)

y=2x-3

c)

y=-6x+3

d)

y=6x+3

198.

Solve for y:
7x+ 2y = 20

a)

y= 7/2x + 10

b)

y=-7/2x + 10

c)

y=2/7 x- 10

d)

y= -2/7x + 10

199.

Solve for y:
x + y = 4

a)

y = x + 4

b)

y = -x + 4

c)

x = -y + 4

d)

x= y - 4

200.

Solve for y:
8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

201.

Solve for y:

3y -9 = 18x

a)

y=18x-3

b)

y=2x-3

c)

y=-26x+3

d)

y=6x+3

202.

Solve for y:
x + y = 4

a)

y = x + 4

b)

y = -x + 4

c)

x = -y + 4

d)

x= y - 4

203.

Solve for "y"

3(y + 4x) = 12

a)

y = -4x + 4

b)

y = -12x + 12

c)

y = 4x - 4

d)

y = 0

204.

If you are solving for "y" in this equation:

-7x + 5y = 3,

What is the FIRST step?

a)

Add 7x to both sides

b)

Divide by 5 both sides

c)

Divide by -7 both sides

d)

Subtract 3 to both sides

205.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

206.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

207.

Which ordered pair could represent a y-intercept on a graph?

a)

(6, 0)

b)

(0, 4)

c)

(-1, 3)

d)

(2, 0)

208.

Give the y-interecept
3x + y = 5

a)

(-3, 0)

b)

(0,5)

c)

(5, 0)

d)

(0, -3)

209.

Identify the x-intercept of the following linear equation written in standard form.

-8x - 4y = 8

a)

(-1, 0)

b)

(0, -1)

c)

(-2, 0)

d)

(0, -2)

210.

Identify the y-intercept of the following linear equation written in standard form.

9x + 3y = -18

a)

(0, -6)

b)

(-6, 0)

c)

(-2, 0)

d)

(0, -2)

211.

What is the x-intercept of the following function? $2x-5y=10$

(a)

212.

What is the y-intercept of the following function? $2x-5y=10$

(a)

213.

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

8, 3, 0, 4, 9

c)

(0,8)

d)

(9,0)

214.

Determine the y-intercept for the following equation
4x + 2y = -12

a)

4

b)

-6

c)

-12

d)

2

215.

Give the y-interecept
3x + y = 5

a)

-3

b)

(0,5)

c)

-5

d)

(0, -3)

216.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

217.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

218.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

219.

Identify the x-intercept of the following linear equation written in standard form.

-8x - 4y = 8

a)

(-1, 0)

b)

(0, -1)

c)

(-2, 0)

d)

(0, -2)

220.

Identify the y-intercept of the following linear equation written in standard form.

9x + 3y = -18

a)

(0, -6)

b)

(-6, 0)

c)

(-2, 0)

d)

(0, -2)

221.

Identify the x-intercept of the following linear equation written in standard form.

-3x + 2y = - 24

a)

(8, 0)

b)

(0, 8)

c)

(0, -12)

d)

(-12, 0)

222.

Give the y-interecept
5x + y = 5

a)

(1,0)

b)

(0,5)

c)

(5,0)

d)

(0,1)

223.

Get in standard form: $\frac{1}{3}y=\frac{4}{5}x+2$

a)

$-\frac{4}{5}x+\frac{1}{3}y=2$

b)

$\frac{4}{5}x-\frac{1}{3}y=2$

c)

$4x-3y=2$

d)

$12x-5y=-30$

224.

Get in standard form: $3x-1=0.5y$

a)

$3x-0.5y=-1$

b)

$3x+0.5y=1$

c)

$6x-y=2$

d)

$6x-y=1$

225.

Get in standard form: $-2x+5y=3$

a)

In standard form

b)

$2x-5y=-3$

c)

$5y-2x=3$

d)

$x-\frac{5}{2}y=-\frac{3}{2}$

226.

Get in standard form: $4x-2=\frac{2}{3}y$

a)

$4x-\frac{2}{3}y=2$

b)

$4x+\frac{2}{3}y=-2$

c)

$12x-2y=6$

d)

$6x-y=3$

227.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y - 3 = -5(x + 2)

c)

7x + 2y = 9

d)

3x + 2 = y

228.

Which equation is written in standard form?

a)

y = 3x - 5

b)

3x + 16 = 5y

c)

2/3 x + 9/13 y = 21

d)

5x + 7y = -12

229.

Which equation is written in standard form?

a)

6y = x + 5

b)

y-1 = 7(x - 2)

c)

y = 1/2x + 15

d)

2x + 3y = 18

230.

Put this into standard form:

y = 3x + 2

a)

y + 3x = 2

b)

3x + y = 2

c)

3x - y = -2

d)

3x - 2y = 2

231.

Put this into standard form:

8x = 9y + 10

a)

8x - 10 = 9y

b)

9y - 8x = 10

c)

8x + 9y = 10

d)

8x - 9y = 10

232.

Put this into standard form:

3x = 7y - 5

a)

3x - 7y = -5

b)

3x - 7y = 5

c)

3x + 7y = 5

d)

3x + 7y = -5

233.

Put this into standard form:

14x + 23 = -5y

a)

14x + 5y = 23

b)

14x - 5y = 23

c)

14x + 5y = -23

d)

14x - 5y = -23

234.

Write the standard form of the equation for the line:

y = 1/4 x + 4

a)

x + 4y = 8

b)

x - 4y = -16

c)

y = x + 16

d)

4y + x = 8

235.

Which equation is the correct standard form for 1 = -4x + 9y ?

a)

4x - 9y = -1

b)

4x + 9y = 1

c)

4x + 9y = -1

d)

$y\ =\ \frac{4}{9}x\ +\ \frac{1}{9}$

236.

What would you have to do to change the following equation to STANDARD form?

$\frac{1}{4}x+2y\ =\ -3$

a)

Nothing; it is already in standard form

b)

Add 3 to both sides so the right side is zero

c)

Subtract 1/4 x from both sides to get the x on the right

d)

Multiply everything by 4 to get rid of the fraction

237.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

238.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

239.

Which ordered pair could represent a y-intercept on a graph?

a)

(6, 0)

b)

(0, 4)

c)

(-1, 3)

d)

(2, 0)

240.

Give the y-interecept
3x + y = 5

a)

(-3, 0)

b)

(0,5)

c)

(5, 0)

d)

(0, -3)

241.

Identify the x-intercept of the following linear equation written in standard form.

-8x - 4y = 8

a)

(-1, 0)

b)

(0, -1)

c)

(-2, 0)

d)

(0, -2)

242.

Identify the y-intercept of the following linear equation written in standard form.

9x + 3y = -18

a)

(0, -6)

b)

(-6, 0)

c)

(-2, 0)

d)

(0, -2)

243.

What is the x-intercept of the following function? $2x-5y=10$

(a)

244.

What is the y-intercept of the following function? $2x-5y=10$

(a)

245.

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

8, 3, 0, 4, 9

c)

(0,8)

d)

(9,0)

246.

Determine the y-intercept for the following equation
4x + 2y = -12

a)

4

b)

-6

c)

-12

d)

2

247.

Give the y-interecept
3x + y = 5

a)

-3

b)

(0,5)

c)

-5

d)

(0, -3)

248.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

249.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

250.

What is the x-intercept?

a)

12

b)

-3

c)

8

d)

0

251.

Identify the x-intercept of the following linear equation written in standard form.

-8x - 4y = 8

a)

(-1, 0)

b)

(0, -1)

c)

(-2, 0)

d)

(0, -2)

252.

Identify the y-intercept of the following linear equation written in standard form.

9x + 3y = -18

a)

(0, -6)

b)

(-6, 0)

c)

(-2, 0)

d)

(0, -2)

253.

Identify the x-intercept of the following linear equation written in standard form.

-3x + 2y = - 24

a)

(8, 0)

b)

(0, 8)

c)

(0, -12)

d)

(-12, 0)

254.

Give the y-interecept
5x + y = 5

a)

(1,0)

b)

(0,5)

c)

(5,0)

d)

(0,1)

A1-CHAPTER 4 TEST 2025-26

Total questions: 254

Worksheet time: 12hrs 11mins

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