Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Writing Linear Equations

Total questions: 75

Worksheet time: 5hrs 19mins

Name
Class
Date
1.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

banana

c)

nothing

d)

slope

2.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
3.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
4.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

banana

c)

nothing

d)

slope

5.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
6.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
7.
Which equation best represents the line on the graph?
a)
y= 1/2x
b)
y= -1/2x
c)
y = 2x
d)
y = -2x
8.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
9.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
10.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
11.

What is the equation of this line?

a)

y= 3/2x+2

b)

y=3/2x-3

c)

y=2/3 x+2

d)

y=2/3x-3

12.
Jenny writes the equation y = 1/2x +5.
Why is she incorrect?
a)
The slope is -2, the equation should be
y = -2x + 5
b)
The y-intercept is 4, the equation should be y = -2x + 4
c)
The slope is -1/2, the equation should be
 y = -1/2x + 5
d)
The y-intercept is -5, the equation should be y = -2x - 5
13.
Which equation matches the graph? (Click me to see the image)
a)
y = 2x
b)
y = 1/4 x + 2
c)
y = 1x + 4
d)
y = -2x
14.

Which is the graph of y= -x - 3?

a)

A

b)

B

c)

C

d)

D

15.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
16.
What is the y-intercept of the line graphed?
a)
3
b)
4
c)
-3
d)
4/3
17.

Which graph shows the equation y = 2/3x - 3

a)
b)
c)
d)
18.

Find the slope of the line.

a)

-3

b)

1/3

c)

3

d)

-1/3

19.

Graph. y = 2/3x - 3

a)
b)
c)
d)
20.

Graph. 3x + 4y = 12

a)
b)
c)
d)
21.

Graph. y = -4

a)
b)
c)
d)
22.

Graph. x = 1

a)
b)
c)
d)
23.

Write the equation of the line with a slope of -5/4 and a y-intercept of 2.

a)

y = -1/4x + 2

b)

y = 2x - 5/4

c)

y = 1/4x + 2

d)

y = -5/4x + 2

24.

Write the equation of the line passes through the point (3,-1) and has a slope of 2.

a)

y = 3x - 1

b)

y = 2x - 5

c)

y = 2x - 7

d)

y = -x + 3

25.

Write the equation of the line passes through the point (2,1) and has a slope = 4.

a)

y = 3x - 2

b)

y = 4x - 7

c)

y = 4x + 7

d)

y = 3x + 3

26.

In slope-intercept form, write the equation of the line passing through the points (-3,4) and (-4,2).

a)

y = -2x + 10

b)

y = -2x - 10

c)

y = 2x - 10

d)

y = 2x + 10

27.

In slope-intercept form, write the equation of the line passing through the points (-4,1) and (-3,2).

a)

y = -x + 5

b)

y = x + 5

c)

y = x - 5

d)

y = -x + 5

28.
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
29.
Write the equation in slope-intercept form: 5x - 2y = 12
a)
y = 5/2x - 6
b)
y = -5/2x - 6
c)
y = 5x +12
d)
y = -5x + 12
30.
Given the equation, 3x - 2y = -10, identify the slope and the y-intercept.
a)
slope: -3, y-intercept: -10
b)
slope: -2/3, y-intercept: -5
c)
slope: 3/2, y-intercept: 5
d)
slope: -3/2, y-intercept: 5
31.
Write the linear equation of a line that passes through (2,5) and (2, 9).
a)
y = 0
b)
x = 0
c)
y = 2
d)
x = 2
32.
What letter represents the slope of a line in the equation y = mx + b?
a)
y
b)
m
c)
x
d)
b
33.
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
34.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
35.
Write the equation that best matches the graph shown.
a)
y = 4x
b)
y = 4x - 3
c)
y = 4/3 x + 4
d)
y = 4/3 x - 3
36.
What is the equation of this line in slope-intercept form?
a)
y = 2x + 5
b)
y = -2x + 5
c)
y = -2x
d)
y = 5
37.
What is the equation of this line?
a)
0
b)
undefined 
c)
y = -2
d)
x = -2
38.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
39.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

40.

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

41.
Write the equation of the line that passes through the point (4, -2) and has a slope of -1/2.
a)
y = -1/2x + 3
b)
y = -1/2x
c)
y = -1/2x + 4
d)
y = -1/2x - 4
42.

Write a linear function that has a slope of -2 and passes through the point (-3, 4).

a)

f(x) = -2x - 2

b)

f(x) = -2x + 4

c)

f(x) = =2x + 3

d)

f(x) = -2x + 2

43.
Write an equation in slope-intercept form from the points (0, 3) and (-4, -1)
a)
y = x + 3
b)
y =  x - 3
c)
y = x + 1
d)
y = 3x + 1
44.

Write an equation in slope-intercept form from the points (-4, -2) and (-3, 5)

a)

y = 1/7x

b)

y = 1/7x + 26

c)

x = 7y + 26

d)

y = 7x + 26

45.
A holiday meal costs $12.50 a person plus a delivery fee of $30.
a)
y = 30 + 12.5x 
b)
y = 12.5 + 30
c)
y = 12.5 + 30x
d)
y = 30 - 12.5x
46.

Sonia has $40 in her lunch account and pays $2 each day to eat lunch.

a)

y = 40 + 2x

b)

y = 40 - 2x

c)

y = 2 + 40x

d)

y = 2 - 40x

47.

Which equation matches the table?

a)

y = 3x + 9

b)

y = x + 9

c)

y = x + 3

d)

y = 12x - 3

48.
Given the following table, write the linear equation.
a)
y = 2x + 7
b)
y = 4x + 7
c)
y = 2x + 5
d)
y = -2x + 5
49.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
50.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
51.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
52.

Which graph shows the equation y = 2/3x - 3

a)
b)
c)
d)
53.

What is the equation of this line?

a)

0

b)

x = 2

c)

y = -2

d)

x = -2

54.

What TWO things do you need to write a linear equation? Check both things!

a)

Slope

b)

Y-intercept

c)

Y - axis

d)

Standard form

55.
Vertical or horizontal?
x = 4
a)
vertical 
b)
horizontal
c)
neither
56.
Vertical or horizontal?
y = -6
a)
vertical 
b)
horizontal
c)
neither
57.

What is the equation of the line shown in the graph?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

58.
What equation matches this graph?
a)
y = 2x + 2
b)
y = 3/2x + 2
c)
y = 1/2x + 2
d)
y = 2/3x + 2
59.
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)
60.
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
61.
For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
62.

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

a)

y = -3x - 23

b)

y = -3x -13

c)

y = -3x - 11

d)

y = -3x+13

63.

What is y intercept of the equation y - 3 = 4(x - 0)

a)

4

b)

-3

c)

3

d)

-4

64.
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)
65.

Convert the slope-intercept form equation y = 2x + 3 to standard form.

a)

y = 2x - 3

b)

-2x + y = 3

c)

y = 3 - 2x

d)

y = 2x + 3

66.

Convert the point-slope form equation y - 5 = 4(x - 2) to standard form.

a)

y - 4x = 3

b)

4x + y = 3

c)

4x - y = -3

d)

4x - y = 3

67.

Convert the slope-intercept form equation y = -3x - 2 to standard form.

a)

y = 3x - 2

b)

y = -3x + 2

c)

3x + y = -2

d)

-3x + y = -2

68.

Convert the point-slope form equation y - 7 = -2(x + 1) to standard form.

a)

y + 2x = 7

b)

y - 2x = 5

c)

y + 2x = 5

d)

y - 2x = 7

69.

Convert the slope-intercept form equation y = 1/2x - 4 to standard form.

a)

x - 2y = 8

b)

x - 2y = -8

c)

x + 2y = -8

d)

2x - y = 8

70.

Convert the point-slope form equation y - 3 = -1/3(x - 6) to standard form.

a)

3x + y = 15

b)

x - 3y = 15

c)

3x - y = 15

d)

x + 3y = 15

71.

Convert the slope-intercept form equation y = -5x + 2 to standard form.

a)

y = 5x + 2

b)

5x + y = 2

c)

y = -2x + 5

d)

2x + y = -5

72.

Convert the point-slope form equation y - 4 = 3(x + 2) to standard form.

a)

3x + y = 10

b)

3x + y = -10

c)

-3x + y = 10

d)

3x - y = -10

73.

Convert the point-slope form equation y - 2 = -2(x - 3) to standard form.

a)

y - 2 = 2(x - 3)

b)

y - 2 = -2x - 6

c)

y - 2 = -2x + 6

d)

y + 2x = 8

74.

Write the follow equation in standard form. Ax+By=CAx+By=C

DO NOT WRITE ANY SPACES IN YOUR EQUATION.

y=−x+5y=-x+5 



(a)  

75.

Write the follow equation in standard form. Ax+By=CAx+By=C

DO NOT WRITE ANY SPACES IN YOUR EQUATION.

2−y=5x2-y=5x 

(a)