Beginning Algebra, 11th Edition

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

Since the slopes and 3 are not equal, the lines are not parallel. Check the product

of the slopes.

The slopes are negative reciprocals.

The two lines are perpendicular because the product of their slopes is.

(b)

Both lines have slope 4, so the lines are parallel.

(c)

Here the slopes are and 2. These lines are neither parallel nor perpendicular,

because and

(d)

The slopes are 6 and The lines are not parallel, nor are they perpendicular.

ABe^ careful!^6 A^16 B1,^ not^ 1.B NOW TRY

1

6.

y=

1

6

x- 6 y=- 12 x+ 2

6 x- y= 1 y= 6 x- 1

-^43 Z 2 -^43 # 2 Z-1.

-^43

2 x- y= 5 y= 2 x- 5

y=-

4

3

4 x+ 3 y= 6 x+ 2

8 x- 2 y=- 12 y= 4 x+ 6

4 x- y= 4 y= 4 x- 4

- 1

-

1

3

132 =- 1

-

1

3

Solve for y.

Solve for y.

Solve for y.

Complete solution available
on the Video Resources on DVD

3.3 EXERCISES

Use the indicated points to find the slope of each line. See Example 1.

1. 
   
   
   
   2. 
      
      
      
      3. 
         
      
      
      
      
   
   
   
   

x

y

2

2

0

x

y

–2

2

0

x

y

–2

2

0

x

y

2

2

0

x

y

2

2

0

x

y

2

2

0

4. 5. 6.

7.In the context of the graph of a straight line, what is meant by “rise”? What is meant by

“run”?

8.Explain in your own words what is meant by slopeof a line.

NOW TRY
EXERCISE 6
Decide whether the
pair of lines is parallel,
perpendicular,or neither.

4 x+ 6 y= 5

2 x- 3 y= 1

NOW TRY ANSWER

6. neither

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