Intermediate Algebra (11th edition)

202 CHAPTER 3 Graphs, Linear Equations, and Functions

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REVIEW EXERCISES

CHAPTER 3

3.1 Complete the table of ordered pairs for each equation. Then graph the equation.

1. 3 x+ 2 y= 10 2.x-y= 8

Find the x- and y-intercepts and then graph each equation.

Use the midpoint formula to find the midpoint of each segment with the given endpoints.

7. and 8. and

3.2 Find the slope of each line.

9.Through and 10.Through and

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    12. 
        
    
    
    
    


12. 14.Parallel to
    15.Perpendicular to 16.Through and


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    18. 
        
    
    
    
    

3 x-y= 4 1 - 1, 5 2 1 - 1, - 42

x= 5 3 y= 2 x+ 5

y= 2 x+ 3 3 x- 4 y= 5

1 - 1, 2 2 1 4, - 52 1 0, 3 2 1 - 2, 4 2

1 - 8, - 122 1 8, 16 2 1 0, - 52 1 - 9, 8 2

2 x+ 5 y= 20 x- 4 y= 8

4 x- 3 y= 12 5 x+ 7 y= 28

Tell whether each line haspositive, negative, 0, orundefined slope.

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23.Concept Check If the pitch of a roof is how
many feet in the horizontal direction correspond
to a rise of 3 ft?
1
4 ,
1 ft
4 ft
24.Family income in the United States has increased steadily for many years (primarily due
to inflation). In 1980, the median family income was about $21,000 per year. In 2007, it
was about $61,400 per year. Find the average rate of change of median family income to
the nearest dollar over that period. (Source:U.S. Census Bureau.)