Beginning Algebra, 11th Edition

218 CHAPTER 3 Linear Equations and Inequalities in Two Variables; Functions

Complete solution available
on the Video Resources on DVD

3.4 EXERCISES

x

y

0

(0, –3)

x

y

0

(0, 2)

x

y

0

(0, –2)

x

y

0

(0, –3)

x

y

0

(0, – 4)

Concept Check Match the description in Column I with the correct equation in Column II.

III

1. passes through A.


2. y-intercept B.
   3.Passes through and C.
   4.Passes through and D.
   E.

Concept Check Match each equation with the graph in A – D that would most closely

resemble its graph.

5. 
   
   
   
   6. 
      
      
      
      7. 
         
         
         
         8. A. B. C. D.
         
         
         
         
      
      
      
      
   
   
   
   

Identify the slope and y-intercept of the line with each equation. See Example 1.

9. 
   
   
   
   10. 
       
       
       
       11. 
           
       
       
       
       
   
   
   
   

12. 13. 14.

Concept Check Use the geometric interpretation of slope (risedivided byrun,from Sec-

tion 3.3) to find the slope of each line. Then, by identifying the y-intercept from the graph,

write the slope-intercept form of the equation of the line.

15. 16. 17.

18. 19. 20.

y=

x

7

-

5

14

y=

x

5

-

3

10

y=x+ 1

y= y=-x+ 9

7

3

y= x- 6

5

2

x- 4

y=x+ 3 y=-x+ 3 y=x- 3 y=-x- 3

y- 1 =- 21 x- 42

1 0, 0 2 1 1, 4 2 y=- 2 x+ 1

1 0, 0 2 1 4, 1 2 y=- 4 x

Slope=-2, 1 0, 1 2 y= 41 x

Slope=-2, 1 4, 1 2 y= 4 x

0

x

y

0 x

y

0

x

y

0 x

y

x

y

0

(0, 3)

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