wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Linear Equations: Graphing from Standard Form and Slope Inte

Total questions: 20

Worksheet time: 2hrs 43mins

Name
Class
Date
1.

What are the x and y intercepts of :

3x + 6y = 36

a)

x=6, y=12

b)

x= 3, y = 1/6

c)

x= 12, y= 6

d)

x= -12, y = 6

2.

What are the x and y intercepts of :

-4x + 2y = 24

a)

x = -6, y= 12

b)

x = 12, y= -6

c)

x = 6, y = -12

d)

x = -12, y = 6

3.

What are the x and y intercepts of :

7x - 3y = -21

a)

x = 7, y = -3

b)

x = -7, y = -3

c)

x = 3, y = 7

d)

x = -3, y = 7

4.

What are the x and y intercepts of :

-8x + 2y = -32

a)

x = -4, y = 16

b)

x = 4, y = -16

c)

x = -16, y = 4

d)

x = 16, y = -4

5.

Cookie Monster has to graph the line 6x + 4y = 12 to get more cookies. He needs your help. Explain to Cookie Monster how to do this- how does he calculate the points, plot the points, and draw the line.

4 lines
6.

Write the equation of the line shown in the graph.

a)

y = 7

b)

x = 7

c)

y = -7

d)

x = 6

7.

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

a)

y = 5

b)

x = -5

c)

x = 5

d)

y = -5

8.

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

a)

x = -6

b)

y = -6

c)

y = 6

d)

x = 6

9.

What is the slope of the line:

y = 5/6 x +7

a)

7

b)

6/5

c)

5/6

d)

-7

10.

What is the y intercept of the line:

y = -3x -4

a)

-3

b)

3

c)

-4

d)

4

11.

What is the y intercept of the line:

y = -3x + 5

a)

5

b)

-3

c)

3

d)

-5

12.

In y =mx+b, the variable b stands for the (a)  

13.

What are the slope and y intercept of the line y = 6x - 4?

a)

slope: -4, y intercept: 6

b)

slope: 6, y intercept: -6

c)

slope: 2, y intercept: 0

d)

slope: 6 , y intercept: -4

14.

What are the slope and y intercept of the equation:

y = -2/3 x +22

a)

slope: 2/3, y intercept: 22

b)

slope:22, y intercept: -2/3

c)

slope: -2/3, y intercept: 22

d)

slope: -22, y intercept: 2/3

15.

Big Bird wants to know how to graph a line using the slope intercept shortcut. Explain to Big Bird how to read the slope and y intercept from the equation and how to plot the 2 points. Don't forget that he has to draw the line! Use words mostly, but numbers and visuals work as well.

4 lines
16.

Write the equation of the line shown in the graph in slope-intercept, y = mx+b form.

Use / for the fraction bar. Do not insert extra spaces.

(a)  

17.

Write the equation of the line shown in the graph in slope intercept y=mx+b form.


Use / for fractions. Avoid using the space bar.

(a)  

18.

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

a)

y=4x+3

b)

y=-1/4x+3

c)

y=1/4x-3

d)

y=4x-3

19.

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

a)

y=12x 5y=\frac{1}{2}x\ -5

b)

y=5x + 4y=5x\ +\ 4

c)

y=34x 5y=\frac{3}{4}x\ -5

d)

y=43x 5y=\frac{4}{3}x\ -5

20.

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

a)

 y=x+6y=x+6  

b)

 y=x4y=x-4  

c)

 y=12x6y=\frac{1}{2}x-6  

d)

 y=x6y=x-6