Free Printable Linear Equation Forms on Coordinate Plane: Standard/Point-Slope

1.

Parallel lines have _________________ slope.

a)

The Same

b)

Opposite Reciprocal

2.

Perpendicular lines have _________________ slope.

a)

The Same

b)

Opposite Reciprocal

3.

Choose the most precise answer: These roads are

a)

Intersecting

b)

Perpendicular

c)

Parallel

4.

What type of line does the picture represent?

a)

Parallel

b)

Intersecting

c)

Perpendicular

5.

If the lines are parallel to each other and the slope of the blue line is 1/4, what is the slope of the purple line?

a)

4

b)

-4

c)

$-\frac{1}{4}$

d)

$\frac{1}{4}$

6.

If the lines are perpendicular to each other and the slope of the blue line is $\frac{1}{2}$ , what is the slope of the purple line?

a)

2

b)

-2

c)

$-\frac{1}{2}$

d)

$\frac{1}{2}$

7.

Choose the linear equation that is parallel to the following line

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

a)

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

b)

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

c)

$y=-4x-1$

d)

$y=4x-1$

8.

Choose the linear equation that is parallel to the following line

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

a)

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

b)

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

c)

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

d)

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

9.

Choose the linear equation that is perpendicular to the following line

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

a)

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

b)

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

c)

$y=-4x-1$

d)

$y=4x-3$

10.

Choose the linear equation that is perpendicular to the following line

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

a)

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

b)

$y=-\frac{3}{4}x+6$

c)

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

d)

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

11.

What is the slope of the line?

a)

Undefined

b)

0

c)

7

d)

$\frac{1}{7}$

12.

Which of these represents standard form form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

13.

Which of these represents slope intercept form form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

14.

Convert the standard form equation into slope-intercept form.
x - y = 2

a)

y = -x + 2

b)

y = x - 2

c)

x = 2

d)

y = 27, 239, 430

15.

Write the equation in slope-intercept form: 3x + y = 12

a)

y = -3x +12

b)

x = y + 4

c)

x = y + 12

d)

y = 3x -12

16.

Write the equation in slope-intercept form: 2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

17.

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

18.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

19.

Convert the standard form equation into slope-intercept form.
x + y = -1

a)

y = x - 1

b)

y = 27, 239, 430

c)

y = -1x

d)

y = -x - 1

20.

Convert the standard form equation into slope-intercept form.
x + 5y = -25

a)

y = -⅕x - 5

b)

y = -x - 5

c)

x = 20

d)

y = 27, 239, 430

21.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

22.

If I am looking for a line parallel to $y=-3x-2$ which one of these equations could it be?

a)

$y=-2x-1$

b)

$y=3x-4$

c)

$y=-3x+6$

d)

$y=-2x-3$

23.

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

a)

the same line

b)

perpendicular

c)

neither

d)

parallel

24.

$y=\frac{-2}{3}x+2$ and $y=\frac{3}{2}x+9$

a)

Parallel

b)

Perpendicular

c)

Neither

25.

Are the lines parallel, perpendicular, or neither?

y=x+5

y=x-1

a)

Parallel

b)

Perpendicular

c)

Neither

26.

Write the equation in slope-intercept
$2𝑥+6𝑦=18$

a)

$x+3y\ =\ 9$

b)

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

c)

$y=-3x+1$

d)

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

27.

Select the line that is perpendicular to

y = 5x - 10

a)

y = 5x - 3

b)

y = 1/5x - 3

c)

y = -1/5x + 4

d)

y = -5x + 4

28.

Write in slope-intercept form: $-2x-5y=15$

a)

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

b)

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

c)

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

d)

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

29.

Choose ALL the lines PARALLEL to the following line: y = 2/9x - 7

a)

y = 2/9x + 8

b)

y = 9/2x -12

c)

-2y = 9x + 8

d)

9y = 2x -18

30.

Select ALL of the lines that are PERPENDICULAR to y = 3/4x + 9

a)

y = 3/4x - 3

b)

y = -3/4x + 9

c)

y = -4/3x + 8

d)

3y = -4x + 5

e)

4y = -3x + 7

31.

Determine if the given equations are parallel, perpendicular, or neither.

$3x+2y=6$
$y=-\frac{3}{2}x+5$

a)

parallel

b)

perpendicular

c)

neither

32.

Determine if the given equations are parallel, perpendicular, or neither.

$3y=4x+15$
$9x+12y=12$

a)

parallel

b)

perpendicular

c)

neither

33.

Determine if the given equations are parallel, perpendicular, or neither.

$3x+2y=10$
$2x+3y=-3$

a)

parallel

b)

perpendicular

c)

neither

34.

Determine if the given equations are parallel, perpendicular, or neither.

$y=8$
$x=-1$

a)

parallel

b)

perpendicular

c)

neither

35.

Are the two linear equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

36.

Find the x and y intercepts.
4x - 5y = 40

a)

x intercept is 10
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

37.

Solve for the X-Intercept.

3x+4y=24

a)

12

b)

8

c)

-12

d)

-8

38.

Solve for the X and Y Intercepts.

4x - 10y = 20

a)

x = 4
y = -10

b)

x = 5
y = 2

c)

x = 5
y = -2

d)

x = 4
y = -10

39.

What is the standard form of the line 1/2y=3/4x-2

a)

3x-2y=8

b)

-3x+2y-8=

c)

-3/4x+1/2y=-2

d)

4x+2y+-2

40.

Which is correctly written in standard form of y=-6/7x+12

a)

6x+7y=84

b)

6/7x-y=12

c)

7x+6y=72

d)

y-6/7x=12

41.

Write an equation in Standard Form.
A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.

a)

2x + 5y = 120

b)

12x + 15y = 120

c)

12 + 15y = 2x

d)

12x + 15 = 120

42.

T

a)

(7,6)

b)

(5,5)

c)

(2,5)

d)

(7,7)

43.

R

a)

(0,1)

b)

(5,5)

c)

(2,5)

d)

(7,7)

44.

What is the equation of the line in the graph?

a)

x = −1

b)

y = −1

c)

y = 1

d)

y = 5

45.

What is the equation of the graphed line?

a)

y = 3

b)

y = 5

c)

x = 3

d)

x = 4

46.

Ordered pair (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

47.

Write the equation of the line in standard form

a)

y=2/3x-2

b)

-2/3x-y=-2

c)

-2x+3y=-6

d)

2x-3y=6

48.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

49.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

50.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

51.

Find the slope given the points (2, −7) and (−1, 6).

a)

-13/3

b)

13/3

c)

0

d)

2/3

52.

Write the equation of the following graph in point-slope form.

Select all that apply.

a)

y - 3 = 4(x - 3)

b)

y + 1 = 4(x - 2)

c)

y- 1 = 4(x + 2)

d)

y + 3 = 4(x + 3)

53.

Write the equation of the following graph in slope-intercept form.

a)

y = 4x - 9

b)

y = 4x - 15

c)

y = 4x + 9

d)

y = 4x + 15

54.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

55.

What is the correct way to write the point-slope form of a linear equation?

a)

Ax+By=C

b)

a(x-h)^2+k

c)

y-y1=m(x-x1)

d)

y=mx+b

56.

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

57.

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)

58.

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

59.

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)

60.

Write the point-slope form of the equation of the line through the given point with the given slope.

through: (4, 1), slope = -1

a)

y - 4 = x - 1

b)

None of these

c)

y - 1 = -(x + 4)

d)

y - 1 = -(x - 4)

61.

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)

62.

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)

63.

What is the equation of this line?

a)

$y-2=\frac{1}{3}\left(x-3\right)$

b)

$y+2=\frac{1}{3}\left(x+3\right)$

c)

$y-3=\frac{1}{3}\left(x-2\right)$

d)

$y+3=\frac{1}{3}\left(x+2\right)$

64.

For the equation
y - 3 = 2(x + 4),
what is the ordered pair?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

65.

Write an equation
m = 5 through (-1, -3)

a)

y = 5x + 2

b)

y = -5x - 5

c)

y = -5x + 2

d)

y = 2x - 5

66.

Write an equation
m = 5/4 through (-4, -3)

a)

y = 5/4x +2

b)

y = -5/4x + 2

c)

y = 2x - 5/4

d)

y = 3/4x + 2

67.

Write the point-slope form of an equation that has a slope of 3 and passes through the point (5,-4).

y- (a) = (b) (x- (c) )

Choose from the below words

-4

3

5

68.

Write the equation of a line perpendicular to the one pictured through the point (3,1) in point slope form.
(HINT: PERPENDICULAR LINES - FLIP AND SWITCH)

a)

y - 1 = 1/2 (x - 3)

b)

y + 1 = 2 (x + 3)

c)

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

d)

y - 1 = - 2 (x - 3)

69.

Which point-slope equation matches the graph?

a)

$y-1=-\frac{1}{2}\left(x+1\right)$

b)

$y+1=-\frac{1}{2}\left(x-1\right)$

c)

$y-1=-2\left(x+1\right)$

d)

$y+1=-2\left(x-1\right)$

70.

What is the point-slope equation of the line that passes through the point (4, -2) and has a slope of 6?

a)

y - 2 = 6(x - 4)

b)

y + 2 = 6(x - 4)

c)

y - 4 = 6(x - 2)

d)

y - 4 = 6(x + 2)

71.

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

a)

y-10 = -2(x+7)

b)

y-10 = -2(x-7)

c)

y+10 = -2(x+10)

d)

y -10 = -2x+2

72.

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)

73.

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)

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

74.

Write the equation of the line in Point-Slope Form.

a)

y + 5 = 3/5(x +2)

b)

y - 2 = 3/5(x - 5)

c)

y + 2 = 3/5(x + 5)

d)

y - 5 = 3/5(x - 2)

75.

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

76.

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

77.

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

a)

$y=4x-2$

b)

$y=4x+8$

c)

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

d)

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

78.

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

79.

What slope is perpendicular to:
m = 3

a)

-3

b)

-1/3

c)

1/3

d)

3

80.

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

81.

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

82.

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)

$y=3x-14$

83.

Which equation is perpendicular to:
y = -6x +2

a)

y = 6x +1

b)

y = 1/6x +4

c)

y = -6x +3

d)

y = -1/6x +5

84.

Write the equation of a line perpendicular to y = 3x - 8 and that passes through the point (-3, -9)

a)

y + 9 = -1/3(x + 3)

b)

y - 9 = -1/3(x - 3)

c)

y + 9 = -3(x + 3)

d)

y - 9 = 3(x - 3)

85.

Write the equation of a line parallel to y = -1/2x + 3 and that goes through the point (4, -1)

a)

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

b)

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

c)

y + 1 = 2(x - 4)

d)

y - 1 = 2(x + 4)

86.

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

87.

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

88.

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

89.

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)

$y=-3x-9$

90.

What equation is parallel to
y = 2x + 5
and passes through the point
(4, 12)

a)

y = 2x + 4

b)

y = 2x + 5

c)

y = -½x + 14

d)

y = -½x + 5

91.

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

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

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

92.

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)

$y=-2x+8$

Linear Equation Forms on Coordinate Plane: Standard/Point-Slope

Total questions: 92

Worksheet time: 2hrs 18mins

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