Free Printable Linear Equation and Straight Line

1.

Select the line with the equation:

y = 2x + 2

a)

b)

c)

d)

2.

Write the equation $2x+y=9$ into the general term.

a)

$y=-2x+9$

b)

$\frac{2x}{9}+\frac{y}{9}=1$

3.

Which of the following lines is parallel to
$2x+3y=5$

a)

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

b)

$y=2x-3$

c)

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

d)

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

4.

Choose points that lie on the straight line
$2x-y=5$

a)

$\left(1,-3\right)$

b)

$\left(-2,1\right)$

c)

$\left(2,3\right)$

5.

$\frac{x}{4}+\frac{y}{2}=1$
Convert the equation of the straight line above to the form :
$ax+by=c$

a)

$x+4y=1$

b)

$x+4y=4$

c)

$x+2y=1$

d)

$x+2y=4$

6.

Determine the gradient and the y-intercept for each of the following equation.

-3y=-6x-9

(a)

7.

$2y=8x+6$
Determine the gradient of straight line.

a)

2

b)

4

c)

6

d)

8

8.

Which represents slope in y=4x+3

a)

3

b)

4x

c)

4

d)

x

9.

Which of these lines has a gradient of ½?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

10.

Which of these lines is
y = 5?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

11.

What is the equation of this line?
_{(in the form y = mx + c)}

a)

y = -3x + 2

b)

y = 2x - 3

c)

y = 2x + 3

d)

y = -2x - 3

12.

What is the gradient of this line?

a)

2

b)

½

c)

-½

d)

-3

13.

Which of these lines has a negative gradient?

a)

The orange one

b)

The red one

c)

The blue one

d)

The green one

14.

Which of these lines will intercept the y-axis at 5?

a)

y = 5x

b)

y = x - 5

c)

5y = 5x + 5

d)

y = x + 5

15.

What is the gradient of the line
y = 2x - 3?

a)

2

b)

-3

c)

3

d)

2x

16.

The line has

a)

A y-intercept at

(0, 8)

b)

An x-intercept at (0, -4)

c)

An x-intercept at (0, 8)

d)

A y-intercept at

(8, 0)

17.

The line has

a)

An x-intercept at (3, 0)

b)

A y-intercept at

(3, 0)

c)

An x-intercept at (0, -6)

d)

The point (-4, 1) on the line

18.

The line given by $y=12-4x$ has its y-intercept at

a)

(0, 12)

b)

(12, 0)

c)

(-4, 0)

d)

(0, -4)

19.

The y-intercept of the line given by $y=3x-6$ is

a)

(0, -6)

b)

(-6, 0)

c)

(0, 3)

d)

(3, 0)

20.

Write the equation for the line in slope-intercept form.

a)

y=-1x+3

b)

y=4x+3

c)

y=¼x+3

d)

y=-4x+3

21.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

22.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

23.

Which two equations below are parallel?

a)

y = 2x + 1 and y = -1/2x + 1

b)

y = 2x + 3 and y = -2x + 3

c)

y = 2x - 1 and y = 1/2x - 1

d)

y = -x + 4 and y = -x + 2

24.

Which line has gradient 2 and passes through the point (2,3)

a)

y=x

b)

y=2x-1

c)

y=x+1

d)

y=2x

25.

What line goes through (1,4) and has gradient 2

a)

y=2x+2

b)

y=x+1

c)

y=4x-1

d)

y=2x+4

26.

Write the slope-intercept form of the equation that has a slope of 4 and a y-intercept of −3.

a)

y = 4x − 3

b)

y = −3x + 4

c)

y = −4x + 3

d)

y = 3x − 4

27.

What rule connects the x and y values from this table?

a)

y = 2x + 5

b)

y = 4x + 1

c)

y = 3x + 3

d)

y = x + 7

28.

What is the gradient of the line
y = 2x - 3?

a)

2

b)

-3

c)

3

d)

2x

29.

The line has

a)

A y-intercept at

(0, 8)

b)

An x-intercept at (0, -4)

c)

An x-intercept at (0, 8)

d)

A y-intercept at

(8, 0)

30.

The line has

a)

An x-intercept at (3, 0)

b)

A y-intercept at

(3, 0)

c)

An x-intercept at (0, -6)

d)

The point (-4, 1) on the line

31.

The line given by $y=12-4x$ has its y-intercept at

a)

(0, 12)

b)

(12, 0)

c)

(-4, 0)

d)

(0, -4)

32.

The y-intercept of the line given by $y=3x-6$ is

a)

(0, -6)

b)

(-6, 0)

c)

(0, 3)

d)

(3, 0)

33.

Which line has coordinate (2,5) on it?

a)

y=2x+5

b)

y=x-2

c)

y=3x+3

d)

y=x+3

34.

Which line is parallel to the y-axis?

a)

y=3

b)

y=x

c)

x=3

d)

y=x+3

35.

Which line has a gradient of 3?

a)

y=2x+3

b)

y = 3x-2

c)

y=4x+3

d)

y=x+3

36.

What line goes through (1,4) and has gradient 2

a)

y=2x+2

b)

y=x+1

c)

y=4x-1

d)

y=2x+4

37.

Write the equation of the line in slope-intercept form.

a)

y = -²/₃x + 4

b)

y = ²/₃x + 4

c)

y = ³/₂x + 4

d)

y = -³/₂x + 4

38.

Write the equation of the line in slope-intercept form.

a)

y = -¹/₃x - 3

b)

y = ¹/₃x - 3

c)

y = 3x - 3

d)

y = -3x - 3

39.

Which is the equation of a line with a slope of -¹/₂ and a y-intercept of (0, -8)?

a)

y = ¹/₂x + 8

b)

y = -¹/₂x - 8

c)

y = 2x - 8

d)

y = -2x + 8

40.

Which is the equation of a line with a slope of 2 and a y-intercept of 11?

a)

2x + y = 11

b)

11x + 2y = 0

c)

y = 2x + 11

d)

y = 11x + 2

41.

The table shown shows a linear relationship. What is the x-intercept?

a)

12

b)

-3

c)

20

d)

4

42.

What is the y-intercept of the line?

a)

-3

b)

3

c)

1

d)

-1

43.

What is the slope of the line?

a)

¹/₂

b)

0

c)

-2

d)

-¹/₂

e)

2

44.

What type of slope does the graph have?

a)

positive

b)

negative

c)

zero

d)

undefined

45.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

46.

Which ordered pair is a solution of the equation below?

y = -3x + 9

a)

(2, 3)

b)

(9, 0)

c)

(-3, 0)

d)

(3, 3)

47.

What is the equation for the line with a slope of 7 and passes through (0,1)?

a)

y = -7x + 1

b)

y = 7x + 1

c)

y = -1/7x - 1

d)

y = -1/7x + 1

48.

Write the equation of the line that goes through (-4, 1) and ( 2, 13) in slope-intercept form.

a)

y - 13 = 2(x - 2)

b)

y = 2x + 9

c)

y - 1 = -2(x + 4)

d)

y = -1/2x - 1

49.

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

a)

y=15x

b)

y=15x+80

c)

y=x+15

d)

y=80x+15

50.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

51.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

52.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

53.

Given the table, write the equation in the slope-intercept form.

a)

y = 1/3x + 6

b)

y = 3x + 6

c)

y = 2x + 6

d)

y = 1/2x + 6

54.

What is the equation for the line that passes through the points (4,2) and (0,6)?

a)

y = x + 6

b)

y = -2x + 2

c)

y = -x - 6

d)

y = -x + 6

55.

What is the equation of the line in the graph?

a)

y = 3

b)

x = 3

c)

x = 0

56.

What is the equation of the line that has a slope of 5 and goes through the point (2,7)?

a)

y = 5x + 3

b)

y = 1/5x - 3

c)

y = 1/5x + 3

d)

y = 5x - 3

57.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

58.

What letter represents the slope of a line in the equation y = mx + b?

a)

y

b)

m

c)

x

d)

b

59.

Give the equation for the graph

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

60.

What does the "b" stand for in y=mx+b?

a)

slope

b)

x-intercept

c)

y-intercept

61.

What is the slope of a line perpendicular to :

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

a)

$-\frac{3}{4}$

b)

$\frac{3}{4}$

c)

$\frac{4}{3}$

d)

$-\frac{4}{3}$

62.

What is the slope of a line parallel to :

$y=3+5x$

a)

$5$

b)

$\frac{1}{5}$

c)

$-5$

d)

$-\frac{1}{5}$

63.

What is the slope of a line parallel to:

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

a)

$-\frac{1}{5}$

b)

$5$

c)

$\frac{3}{5}$

d)

$-\frac{5}{3}$

64.

What is the slope of a line perpendicular to:

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

a)

$-\frac{1}{5}$

b)

$5$

c)

$\frac{3}{5}$

d)

$-\frac{5}{3}$

65.

What is the slope of a line parallel to:

$y=8x+3$

a)

$8$

b)

$3$

c)

$-\frac{1}{8}$

d)

$-\frac{1}{3}$

66.

What is the slope of a line perpendicular to:

$y=8x+3$

a)

$8$

b)

$3$

c)

$-\frac{1}{8}$

d)

$-\frac{1}{3}$

67.

What is the slope of a line parallel to:

$y=7-4x$

a)

$-4$

b)

$7$

c)

$\frac{1}{4}$

d)

$-\frac{1}{7}$

68.

What is the slope of a line perpendicular to:

$y=7-4x$

a)

$-4$

b)

$7$

c)

$\frac{1}{4}$

d)

$-\frac{1}{7}$

69.

What is the slope of a line parallel to:

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

a)

$-\frac{1}{4}$

b)

$\frac{1}{4}$

c)

$-4$

d)

$4$

70.

What is the slope of a line perpendicular to:

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

a)

$-\frac{1}{4}$

b)

$\frac{1}{4}$

c)

$-4$

d)

$4$

71.

What is the slope of a line parallel to:

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

a)

$-\frac{2}{3}$

b)

$\frac{2}{3}$

c)

$-\frac{3}{2}$

d)

$\frac{3}{2}$

72.

What is the slope of a line perpendicular to:

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

a)

$-\frac{2}{3}$

b)

$\frac{2}{3}$

c)

$-\frac{3}{2}$

d)

$\frac{3}{2}$

73.

The equation of the x-axis is

a)

$x=c$

b)

$y=c$

c)

$x=0$

d)

$y=0$

74.

Gradient that is perpendecular to the following graph is ....

a)

3

b)

-3

c)

$\frac{1}{3}$

d)

$-\frac{1}{3}$

75.

Relation of two lineat equations $2x+3y-1=0$ and $4x+6y-11=0$ is ....

a)

parallel

b)

perpendicullar

c)

intersect each other

d)

identical

76.

From the following equations, a line that has a gradient $-\frac{4}{5}$ is ....

a)

$4x+5y-1=0$

b)

$4x-5y-1=0$

c)

$5x+4y-1=0$

d)

$5x-4y-1=0$

77.

The equation of the line that passes through the point (0.8) and is parallel to the line that passes through the points (1.6) and (3.10) is... (write the equation in form y=mx+c)

(a)

78.

Given the linear equation:

I. 2x + 3y = 6

II. 2x – 3y = -6

III. 3x + 2y = 12

IV. 3x + 2y = -12

Two lines perpendicular to each other are...

a)

I and III

b)

II and III

c)

I and IV

d)

I and II

79.

what is the gradient that is perpendicular to line 2x + y = 6?

(a)

80.

The equation of the line that passes through the points (2,5) and (-1, 6) is...

(a)

81.

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

a)

YES

b)

NO

82.

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

a)

YES

b)

NO

83.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

a)

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

b)

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

c)

$y=-3x+6$

d)

$y=-3x-8$

84.

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)

$y=-2x+8$

85.

$y=\frac{2}{11}x-10$ & $2x-11y=44$

The preceding lines are

a)

Perpendicular

b)

Parallel

c)

Neither parallel nor perpendicular

86.

Find the equation of line L

a)

y = −2x + 6

b)

y = 2x + 6

c)

y = −2x - 6

87.

Type the gradient of a line that would be perpendicular to

$y=-\frac{5}{7}x+1$

(a)

88.

Line 1: $\left(-1,\ 2\right),\ \left(2,\ 3\right)$
Line 2: $\left(0,\ 0\right),\ \left(3,\ 1\right)$
These two lines are ______________________

a)

Parallel

b)

Pependicular

c)

Neither

89.

What is the other name for Perpendicular Bisector?

a)

The midpoint

b)

Length of line segment

c)

Pythagoras theorem

d)

Perpendicular line equation

90.

Find the gradient

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

91.

Write a linear equation in line equation form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

92.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

93.

The gradients of parallel lines are...

a)

the same

b)

opposite

c)

always different

94.

Find the gradient:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

95.

A is the point (-2, 0) and B is the point (0, 4).

Find the equation of the straight line joining A and B.

a)

$y=-2x+4$

b)

$y=2x+4$

c)

$y=2x-4$

96.

$y=4x+3$ & $y=-4x+3$

The preceding lines are

a)

Perpendicular

b)

Parallel

c)

Neither parallel nor perpendicular

97.

Slopes of perpendicular lines are...

a)

opposite reciprocals

b)

opposites

c)

identical

d)

nothing

98.

Type the gradient of a line that would be perpendicular to

$y=-5x+2$

(a)

99.

Type the gradient of a line that would be perpendicular to

$y=-\frac{2}{3}x+7$

(a)

100.

Type the gradient of a line that would be parallel to

$2x-4y=16$

(a)

101.

Find the equation of the straight line with slope -7 and y-intercept 4 .

a)

$4x-y-7=0$

b)

$7x+y-4=0$

c)

$x-4y+7=0$

d)

$x+7y-4=0$

102.

What is the slope of the line?

a)

y = 3

b)

x = 3

c)

0

d)

undefined

103.

What is y-intercept?

a)

the x-coordinate of the point where the line cuts the x-axis

b)

the x-coordinate of the point where the line cuts the y-axis

c)

the y-coordinate of the point where the line cuts the x-axis

d)

the y-coordinate of the point where the line cuts the y-axis

104.

What is the y- intercept of the graph of y = -5x + 6

a)

5

b)

-5

c)

6

d)

-6

105.

Find the slope

a)

-2/3

b)

3/2

c)

-3/2

d)

2/3

106.

What is the y-intercept of the line graphed below?

a)

3

b)

4

c)

-3

d)

4/3

107.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

108.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

109.

Write the equation of a line with a slope of -3 and y intercept of 8

a)

x = 8

b)

y = -3

c)

y = 8x -3

d)

y = -3x + 8

110.

Equation of a straight line is y = 4x + 12. Find x-intersection.

a)

-3

b)

3

c)

12

d)

4

111.

A line with gradient 4 passing through y-axis at 3. Find the equation of this line.

a)

y = 4x + 3

b)

y = 3x + 4

c)

y = 4x - 3

d)

y = 3x + 3

112.

A straight line passing through x-axis at -5 and y-axis at 10. Find the gradient of the line.

a)

2

b)

-2

c)

0,.5

d)

-0.5

113.

A straight line passing through (2,3) and (8, 9). Find gradient of the line.

a)

1

b)

8

c)

2

d)

3

114.

A straight line has equation 3y = 5 - 6x. Find the gradient.

a)

2

b)

3

c)

6

d)

5

115.

What is the slope between the points

(-3, -4) & (7, 6)?

a)

0

b)

-1

c)

2

d)

1

116.

What is the slope of the line with the equation y = 4x + 12

a)

4

b)

1/4

c)

-4

d)

-1/4

117.

Find the slope of the line that passes through
(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

118.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

119.

What are the coordinates of point a?

a)

(2,4)

b)

(2, -4)

c)

(-2, -4)

d)

I don't know

120.

Find the slope.

a)

-2

b)

2

c)

-1/2

d)

1/2

121.

For the straight line y = -2x + 3, what are:

a) the slope

b) the y-intercept?

a)

a) Slope = 2

b) y-intercept = -3

b)

a) Slope = -2

b) y-intercept = 3

c)

a) Slope = 3

b) y-intercept = -2

d)

a) Slope = -3

b) y-intercept = 2

122.

What is the equation of the straight line shown in the diagram?

a)

y = (½)x - 2

b)

y = 2x - 2

c)

y = -2x + ½

d)

y = -(½)x + 2

123.

Find the equation of the straight line passing through A(10, -2) and B(4, 1) .

a)

$x+2y-6=0$

b)

$x+2y-9=0$

c)

$x+14y+12=0$

d)

$x+14y+18=0$

124.

Find the equation of the straight line with slope -7 and y-intercept 4 .

a)

$4x-y-7=0$

b)

$7x+y-4=0$

c)

$x-4y+7=0$

d)

$x+7y-4=0$

125.

What is the y-intercept in the equation

y= - 2x

a)

-2

b)

-2x

c)

0

d)

1

126.

The equation of a straight line is 2x +5y =7. Find the Slope of the line

a)

-2

b)

-5/2

c)

-2/5

d)

5

127.

The straight–line equation that through $P(-2,1)$ and perpendicular intersect with $2y+x=1$ is...

a)

$y=2x+5$

b)

$y=2x-5$

c)

$y=-2x+5$

d)

$y=-2x-5$

128.

If the equation of a straight line is y = -4 x -2 then the Slope of this lines is

a)

4

b)

-4

c)

2

d)

-2

129.

The equation of a straight line is

3x - 2y + 8 = 0. Find the y -intercept of the line

a)

-8

b)

4

c)

-8/3

d)

8/3

130.

Which line has the equation

y = x + 2

a)

b)

c)

d)

131.

Which line has the equation

y = 2x + 1

a)

b)

c)

d)

132.

When the line is vertical, the gradient is _____________ .

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

133.

Identify the straight line that has the highest gradient in the diagram.

a)

AB

b)

CD

c)

EF

134.

State the value of the x - intercept and the value of y - intercept of the straight line AB.

y intercept = _

x intercept = _

(a)

135.

State the value of the x - intercept and the value of y - intercept of the straight line AB.

y intercept = _

x intercept = _

(a)

136.

State the value of the x - intercept and the value of y - intercept of the straight line AB.

y intercept = _

x intercept = _

(a)

137.

State the value of the x - intercept and the value of y - intercept of the straight line AB.

y intercept = _

x intercept = _

(a)

138.

Find the Gradient of the linear equation
y= 12x-4

a)

4

b)

-12

c)

12

d)

-4

139.

Find the Gradient of the slope

a)

0.5

b)

-0.5

c)

2

d)

-2

140.

The gradient of horizontal line is .........

a)

Always zero

b)

undefined

c)

Always positive

d)

Always negative

141.

Determine the slope.

a)

m=1/7

b)

m=-1/7

c)

m=-7

d)

m=7

142.

Find the slope of the line that passes through:
(5, -10) and (5, -4)

a)

undefined

b)

0

c)

- 14/10

d)

10/14

143.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2/1

d)

-2/1

144.

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

a)

2/11

b)

13/2

c)

3/10

d)

11/2

145.

What slope is represented here

a)

negative

b)

zero

c)

undefined

d)

positive

146.

What slope is represented here

a)

Positive

b)

negative

c)

undefined

d)

zero

147.

What is the gradient of the following slope

a)

-2

b)

-1/2

c)

2

d)

-1

148.

When the line is a horizontal (flat), the gradient is _____________ .

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

149.

Which line has gradient 2 and passes through the point (2,3)

a)

y=x

b)

y=2x-1

c)

y=x+1

d)

y=2x

150.

Where does the line $y=3x+4$ cross the y-axis?

a)

3

b)

-4

c)

4

d)

-3

151.

What line goes through (1,4) and has gradient 2

a)

y=2x+2

b)

y=x+1

c)

y=4x-1

d)

y=2x+4

152.

Find the x-intercept and y-intercept of straight line $2x+5y-10=0$ .

a)

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

b)

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

c)

x-intercept = 5 , y-intercept = 2

d)

x-intercept = 5 , y-intercept = 5

153.

Find the slope of the straight line $2x-6y+9=0$ .

a)

-3

b)

$-\frac{1}{3}$

c)

$\frac{1}{3}$

d)

3

154.

Straight line $3x-9y-k=0$ passes through A(2, 1) . Find the value of $k$ .

a)

-15

b)

-3

c)

3

d)

15

155.

Find the equation of the straight line passing through A(10, -2) and B(4, 1) .

a)

$x+2y-6=0$

b)

$x+2y-9=0$

c)

$x+14y+12=0$

d)

$x+14y+18=0$

156.

Find the equation of the straight line with slope -7 and y-intercept 4 .

a)

$4x-y-7=0$

b)

$7x+y-4=0$

c)

$x-4y+7=0$

d)

$x+7y-4=0$

157.

Find the equation of the straight line with slope 2 passing through (-3, 4) .

a)

$2x-y-2=0$

b)

$2x-y-10=0$

c)

$2x-y+2=0$

d)

$2x-y+10=0$

158.

What is the gradient of this line?

a)

2

b)

½

c)

−2

d)

−½

159.

What is the gradient of the line y=2x-3

(a)

160.

The points (3, 6) and (7, −2) are on the same straight line.

What is the gradient of the line?

(a)

Linear Equation and Straight Line

Total questions: 160

Worksheet time: 3hrs 28mins

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