Intermediate Algebra (11th edition)

170 CHAPTER 3 Graphs, Linear Equations, and Functions

3.Which equation in Exercise 2is in slope-intercept form?

4.Write the equation in slope-intercept form.

5.Write the equation from Exercise 4in standard form.

6.Write the equation in slope-intercept form.

Concept Check Match each equation with the graph that it most closely resembles. ( Hint:

Determine the signs of m and b to help you make your decision.)

7. A. B. C.

8.

9.

10.

D. E. F.

11.

12.

13.

G. H. I.

14.

Write the equation in slope-intercept form of the line satisfying the given conditions. See

Example 1.

15. ; 16. ;


16. ; 18. ;
    19.Slope 1; y-intercept 20.Slope ; y-intercept
    21.Slope ; y-intercept 22.Slope ; y-intercept

Concept Check Write an equation in slope-intercept form of the line shown in each graph.

(Hint: Use the indicated points to find the slope.)

23. 
    
    
    
    24. 
        
        
        
        25. 
            
            
            
            26. 
                
            
            
            
            
        
        
        
        
    
    
    
    

52 1 0, 5^2 -^341 0, 7^2

1 0, - 12 - 1 1 0, - 32

m=- 23 b=^45 m=- 85 b=- 31

m= 5 b= 15 m= 2 b= 12

y=- 3

y= 3

y=- 2 x

y= 2 x

y= 2 x- 3

y=- 2 x- 3

y=- 2 x+ 3

y= 2 x+ 3

10 x- 7 y= 70

y+ 2 =- 31 x- 42

0 x

y

0 x

y

0 x

y

0 x

y

x

y

0

0 x

y

0 x

y

0 x

y

x

y

0

–3 0 3

–3

3

x

y

–2 0 2

–2

2

x

y

–3 0

–2

(^1) x
y
3
–1^0
2
x
y
For each equation, (a)write it in slope-intercept form, (b)give the slope of the line, (c)give
the y-intercept, and (d)graph the line. See Example 2.

27. 
    
    
    
    28. 
        
        
        
        29. 
            
        
        
        
        
    
    
    
    


28. 
    
    
    
    31. 
        
        
        
        32. 
            
        
        
        
        
    
    
    
    


29. 
    
    
    
    34. 
        
    
    
    
    

Find an equation of the line that satisfies the given conditions. (a)Write the equation in stan-

dard form. (b)Write the equation in slope-intercept form. See Example 3.

35.Through ; slope 36.Through ; slope 1

37.Through ; slope 1 - 2, 4 2 - 43 38.Through ; slope 1 - 1, 6 2 - 65

1 5, 8 2 - 2 1 12, 10 2

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

3 x+ 4 y= 12 4 x- 5 y= 20 7 x- 3 y= 3

• x+y= 4 - x+y= 6 6 x+ 5 y= 30