Complete each table of values. Write the results as ordered pairs. See Example 4.
- 4 x+ 3 y= 24 32. 2 x+ 3 y= 12 33. 4 x- 9 y=- 36 34. 3 x- 5 y=- 15
184 CHAPTER 3 Linear Equations and Inequalities in Two Variables; Functions
xy
0
0
4
xy
0
0
8
xy
0
0
xy
0
0
8
xy
3
8
0
35.x= 12 36.x=- 9 37.y=- 10 38.y=- 6
xy
6
2
xy
4
0
xy
8
4
xy
9
2
0
39.y+ 2 = 0 40.y+ 6 = 0 41.x- 4 = 0 42.x- 8 = 0
xy
8
3
0
xy
0
0
2
xy
6
3
0
xy
4
0
43.Do and correspond to the same point in the plane? Explain.
44.Do and represent the same ordered pair? Explain.
45.Give the ordered pairs for the points labeled A–Fin the figure.
(All coordinates are integers.) Tell the quadrant in which each
point is located. See Example 5.
46.Concept Check The origin is represented by the ordered pair
.
Plot and label each point in a rectangular coordinate system. See Example 5.
Concept Check Fill in each blank with the word positiveor the word negative.
The point with coordinates is in
59.quadrant III if xis and yis.
60.quadrant II if xis and yis.
61.quadrant IV if xis and yis.
62.quadrant I if xis and yis.
63.A point has the property that In which quadrant(s) must the point lie? Explain.
64.A point has the property that In which quadrant(s) must the point lie? Explain.
Complete each table of values. Then plot and label the ordered pairs. See Examples 4 and 5.
65.x- 2 y= 6 66. 2 x-y= 4 67. 3 x- 4 y= 12
1 x, y 2 xy 7 0.
1 x, y 2 xy 6 0.
1 x, y 2
1 0, 4 2 1 0, - 32 1 4, 02 1 - 3, 0 2
a- 1 3, -1.75 2 1 5, -4.25 2
3
2
a- , - 4 b
4
5
, - 1 b
1 6, 2 2 1 5, 3 2 1 - 4, 2 2 1 - 3, 5 2
1 4, - 12 1 - 1, 4 2
1 3, 4 2 1 4, 3 2
xy
0
0
1
xy
0
0
4
–6
–4
–6–4–2 2 4 6
6
2
0
4
y
x
C
D
F
E
A
B
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