Practice Working with
Slope and Equations of  Lines
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Try the following problems:  

1.

Find the equation of the line that has a slope of 6 and passes through the point (-3,5). 

 

2.

Find the slope of the line passing through the points (4,3) and (-5,-2). 

 

3.

Find the equation of the line that has a slope of -2 and a y-intercept of -9.

4.

Find the equation of the line that passes through the points (3,4) and (-4,6).

 

5.

Find the slope of the line whose equation is
y - 3x = 7.

6.

Which equation represents the line whose slope is 1 an whose y-intercept is 0?

a)  y = x
b)  x = -y
c)  y = 1
d)  x = 1
 

7. Simon runs on a 5 mile path several times a week.  Since he is just beginning this exercise program, he runs part of the way and walks the rest of the way.  Simon's running speed is 7 mi/hr and his walking speed is 5 mi/hr.

Write an equation to represent Simon's exercise program.  The equation should be in slope-intercept form.

 

8.

Write an equation for a line passing through the points (6, a) and (-2, a). 


 

9.

Write an equation for a line passing through the points (c, 2b) and (c, 3b). 

 

 


 
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Created by Michael Caldwell