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


Answer: (b)


Correct answer : (2)
 2.  
Find the slope of the line shown.

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


Answer: (a)


Correct answer : (1)
 3.  
Find the equation of a line, whose slope is 7 and y-intercept is 7.
a.
y = 7x + 7
b.
x = 7y - 7
c.
y = 7x - 7
d.
x = 7y + 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.


Correct answer : (1)
 4.  
Find the equation of a line, whose slope is 8 and y-intercept is 9.
a.
x = 8y + 9
b.
y = 9x - 8
c.
x = 9y - 8
d.
y = 8x + 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.


Correct answer : (4)
 5.  
Find the equation of a line, whose slope is 7 and y-intercept is 8.
a.
x = 7y + 8
b.
x = 8y - 7
c.
y = 8x - 7
d.
y = 7x + 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.


Correct answer : (4)
 6.  
Find the equation of a line, whose slope is 5 and y-intercept is 2.
a.
x = 5y + 2
b.
y = 2x - 5
c.
x = 2y - 5
d.
y = 5x + 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.


Correct answer : (4)
 7.  
Find the equation of a line, whose slope is 4 and y-intercept is 4.
a.
x = 4y + 4
b.
y = 4x + 4
c.
x = 4y - 4
d.
y = 4x - 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.


Correct answer : (2)
 8.  
Which graph represents the equation y = x + 2?

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


Answer: (b)


Correct answer : (2)
 9.  
Choose a graph for the equation, - y = x - 2.


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


Answer: (b)


Correct answer : (2)
 10.  
Identify the graph that represents the table.


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


Answer: (b)


Correct answer : (2)

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