Beginning Algebra, 11th Edition

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

x

y

0 x

y

0

xy

01

24

610

Determine whether the given ordered pair is a solution of the given equation.

Name the quadrant in which each ordered pair lies. Then plot each pair in a rectangular

coordinate system.

13.Concept Check If in what quadrant or quadrants must lie?

3.2 Find the x- and y-intercepts for the line that is the graph of each equation, and graph

the line.

3.3 Find the slope of each line.

17.Through and 18.Through and

19. 
    
    
    
    20. 
        
    
    
    
    


20. 
    
    
    
    22. 23.The line passing
        through these points
    
    
    
    


21. (a)A line parallel to the graph of
    (b)A line perpendicular to the graph of

Decide whether each pair of lines isparallel, perpendicular,orneither.

3.4 Write an equation for each line. Give the final answer in slope-intercept form if

possible.

28. 29.Through and
    30.Through 31.Through
    32.Through 33.

34.Slope 0, through 1 - 4, 1 2 35.Through undefined slopeA 13 , - (^54) B,
1 1, - 12 ,m=- 43 m=- 41 ,b= 23
1 4, - 32 ,m= 1 1 - 1, 4 2 ,m= 32
m=-1, b= 32 1 2, 3 2 1 - 4, 6 2
6 x+ 4 y= 8 3 x+y= 4 x+ 2 y= 8
3 x+ 2 y= 6 x- 3 y= 1 x- 2 y= 8
y=- 3 x+ 3
y= 2 x+ 3
y= 3 x- 4 y= 5

1 2, 3 2 1 - 4, 6 2 1 2, 5 2 1 2, 8 2

y= 2 x+ 5 3 x+ 2 y= 8 x+ 2 y=- 4

xy 7 0, 1 x, y 2

1 2, 3 2 1 - 4, 2 2 1 3, 0 2 1 0, - 62

A

1

x+y=7; 1 2, 5 2 2 x+y=5; 1 - 1, 3 2 3 x-y=4; 3 , - (^3) B
Complete the given ordered pairs for each equation.
2.
3.
4.
5.x- 7 =0; 1 , - 32 , 1 , 0 2 , 1 , 5 2
x= 3 y; 1 0, 2 , 1 8, 2 , 1 ,- 32
4 x+ 3 y=6; 1 0, 2 , 1 , 0 2 , 1 - 2, 2
y= 3 x+2; 1 - 1, 2 , 1 0, 2 , 1 , 5 2
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