﻿ Graphing Linear Equations Worksheet | Problems & Solutions

# Graphing Linear Equations Worksheet

Graphing Linear Equations Worksheet
• Page 1
1.
Find the $y$-intercept of the line in the graph.

 a. 6 b. 2 c. - 6

2.
Find the slope of the line shown.

 a. 1 b. - 1 c. 2 d. - 2

3.
Find the equation of a line, whose slope is 7 and $y$-intercept is 7.
 a. $y$ = 7$x$ + 7 b. $x$ = 7$y$ - 7 c. $y$ = 7$x$ - 7 d. $x$ = 7$y$ + 7

#### Solution:

The equation of the line in slope intercept form with slope m and y-intercept b is y = mx + b.

y = (7)x + (7)
[Substitute the values.]

y = 7x + 7
[Simplify.]

The equation of the line in slope-intercept form is y = 7x + 7.

4.
Find the equation of a line, whose slope is 8 and $y$-intercept is 9.
 a. $x$ = 8$y$ + 9 b. $y$ = 9$x$ - 8 c. $x$ = 9$y$ - 8 d. $y$ = 8$x$ + 9

#### Solution:

The equation of the line in slope intercept form with slope m and y-intercept b is y = mx + b.

y = (8)x + (9)
[Substitute the values.]

y = 8x + 9
[Simplify.]

The equation of the line in slope-intercept form is y = 8x + 9.

5.
Find the equation of a line, whose slope is 7 and $y$-intercept is 8.
 a. $x$ = 7$y$ + 8 b. $x$ = 8$y$ - 7 c. $y$ = 8$x$ - 7 d. $y$ = 7$x$ + 8

#### Solution:

The equation of the line in slope intercept form with slope m and y-intercept b is y = mx + b.

y = (7)x + (8)
[Substitute the values.]

y = 7x + 8
[Simplify.]

The equation of the line in slope-intercept form is y = 7x + 8.

6.
Find the equation of a line, whose slope is 5 and $y$-intercept is 2.
 a. $x$ = 5$y$ + 2 b. $y$ = 2$x$ - 5 c. $x$ = 2$y$ - 5 d. $y$ = 5$x$ + 2

#### Solution:

The equation of the line in slope intercept form with slope m and y-intercept b is y = mx + b.

y = (5)x + (2)
[Substitute the values.]

The equation of the line in slope-intercept form is y = 5x + 2.

7.
Find the equation of a line, whose slope is 4 and $y$-intercept is 4.
 a. $x$ = 4$y$ + 4 b. $y$ = 4$x$ + 4 c. $x$ = 4$y$ - 4 d. $y$ = 4$x$ - 4

#### Solution:

The equation of the line in slope intercept form with slope m and y-intercept b is y = mx + b.

y = (4)x + (4)
[Substitute the values.]

The equation of the line in slope-intercept form is y = 4x + 4.

8.
Which graph represents the equation $y$ = $x$ + 2?

 a. Graph 4 b. Graph 1 c. Graph 2 d. Graph 3

9.
Choose a graph for the equation, - $y$ = $x$ - 2.

 a. Graph 1 b. Graph 2 c. Graph 3 d. Graph 4

10.
Identify the graph that represents the table.

 a. Graph 4 b. Graph 3 c. Graph 2 d. Graph 1