Beginning Algebra, 11th Edition

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

x

y

1

1

0 x

y

1

1

0 x

y

1

1

0 x

y

1

1

0

Find the x-intercept and the y-intercept for the graph of each equation. See Examples 1–6.

13. 
    
    
    
    14. 
        
        
        
        15. 
            
            
            
            16. 
                
            
            
            
            
        
        
        
        
    
    
    
    


14. 
    
    
    
    18. 
        
        
        
        19. 
            
            
            
            20. 
                
            
            
            
            
        
        
        
        
    
    
    
    


15. 
    
    
    
    22. 
        
        
        
        23. 
            
            
            
            24. 
                
            
            
            
            
        
        
        
        
    
    
    
    

25.x- 4 = 0 26.x- 5 = 0 27.y=2.5 28.y=-1.5

y= 2 x- 3 y= 0 4 x- 5 y= 0

1

4

y= x- 1

1

3

x- 2

x+ 6 y= 0 3 x+y= 0 y=- 2 x+ 4 y= 3 x+ 6

x-y= 8 x-y= 7 5 x- 2 y= 20 - 3 x+ 2 y= 12

x

y

–2

(^02)
x
y
2
–2^0
x
y
2
(^02)
x
y
2
(^02)
30.Concept Check What is the equation of the x-axis? What is the equation of the y-axis?
Graph each linear equation. See Examples 1–6.

31. 
    
    
    
    32. 
        
        
        
        33. 
            
        
        
        
        
    
    
    
    


32. 
    
    
    
    35. 
        
        
        
        36. 
            
        
        
        
        
    
    
    
    


33. 
    
    
    
    38. 
        
        
        
        39. 
            
        
        
        
        
    
    
    
    


34. 
    
    
    
    41. 
        
        
        
        42. 
            
        
        
        
        
    
    
    
    


35. 
    
    
    
    44. 
        
        
        
        45. 
            
        
        
        
        
    
    
    
    


36. 
    
    
    
    47. 
        
        
        
        48. 
            
        
        
        
        
    
    
    
    


37. 
    
    
    
    50. 
        
        
        
        51. 
            
        
        
        
        
    
    
    
    


38. 
    
    
    
    53. 
        
        
        
        54. 
            
        
        
        
        
    
    
    
    

Concept Check In Exercises 55–62, describe what the graph of each linear equation will

look like in the coordinate plane. (Hint:Rewrite the equation if necessary so that it is in a

more recognizable form.)

55. 
    
    
    
    56. 
        
        
        
        57. 
            
            
            
            58. 
                
            
            
            
            
        
        
        
        
    
    
    
    


56. 
    
    
    
    60. 
        
        
        
        61. 
            
            
            
            62. 
                
            
            
            
            
        
        
        
        
    
    
    
    

Concept Check Plot each set of points, and draw a line through them. Then give the equa-

tion of the line.

63. , and 64. , and


64. 1 - 3, - 32 , 1 0, - 32 ,and 1 4, - 32 66. 1 - 5, 5 2 , 1 0, 5 2 , and 1 3, 5 2

1 3, 5 2 , 1 3, 0 2 1 3, - 32 1 1, 3 2 , 1 1, 0 2 1 1, - 12

3 y=- 6 5 y=- 15 2 x= 4 y 3 x= 9 y

3 x=y- 9 2 x=y- 4 x- 10 = 1 x+ 4 = 3

• 2 y= 12 x+ 2 = 8 x- 1 =- 4

x+ 2 = 0 x- 4 = 0 - 3 y= 15

y= 4 x y=- 1 y= 3

y- 2 x= 0 y+ 3 x= 0 y=- 6 x

y=-

2

3

y=- x- 2

3

4

6 x- 5 y= 18 x+ 3

y= 2 x- 5 y= 4 x+ 3 3 x+ 7 y= 14

x-y= 5 2 x+y= 6 - 3 x+y=- 6

x=y+ 2 x=-y+ 6 x-y= 4

Concept Check Find the intercepts of each graph. (All coordinates are integers.)

9. 
   
   
   
   10. 
       
       
       
       11. 
           
           
           
           12. 
               
           
           
           
           
       
       
       
       
   
   
   
   

29.Concept Check Match each equation in (a) – (d) with its graph in A–D.

(a) (b) (c) (d)

A. B. C. D.

x=- 2 y=- 2 x= 2 y= 2

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