27. 28. 29.
30. 31. 32.
33.Concept Check Consider the patterns formed in the tables for Exercises 23 and 31.Fill
in each blank with the appropriate number.
(a)In Exercise 23,for every increase in xby 1 unit, yincreases by unit(s).
(b)In Exercise 31,for every increase in xby 1 unit, ydecreases by unit(s).
(c)On the basis of your observations in parts (a) and (b), make a conjecture about a
similar pattern for Then test your conjecture.
34.Concept Check What is the equation of the x-axis? The equation of the y-axis?
Find the x- and y-intercepts. Then graph each equation. See Examples 2 – 5.
41. 42. 43.
44. 45. 46.
47. 48. 49.
50. 51. 52.
53. 54. 55. 56.
Find the midpoint of each segment with the given endpoints. See Example 6.
- and 58. and
- and 60. and
- and 62. and
- and 64. and
Brain Busters Find the midpoint of each segment with the given endpoints.
- and 66. and
- and 68. and a
1
2
, -
7
2
a b3
5
, -
1
3
a- b1
2
,
1
14
a- b1
3
,
2
7
ba7
4
,
3
5
a b21
4
,
2
5
a b3
2
,
5
3
a b1
2
,
1
3
b1 2.5, 3.1 2 1 1.7, -1.3 2 1 6.2, 5.8 2 1 1.4, -0.6 2
1 - 9, 3 2 1 9, 8 2 1 4, - 32 1 - 1, 3 2
1 3, - 62 1 6, 3 2 1 - 10, 4 2 1 7, 1 2
1 - 8, 4 2 1 - 2, - 62 1 5, 2 2 1 - 1, 8 2
-
9
4
- y=x
2
3
2 x= 3 y 4 y= 3 x y=xy- 5 = 0 x+ 5 y= 0 x- 3 y= 0x+ 4 = 0 x- 4 = 0 y+ 2 = 0y=- 3 x= 2 x=- 3y= 55
7
x+6
7
y=- 22
3
x- 3 y= 7x- 2 y=- 4 5 x+ 6 y=- 10 3 x- 7 y= 92 x+ 3 y= 12 5 x+ 2 y= 10 x- 3 y= 6y= 2 x+4.6 x- 5 y= 30 y=- 2 x+ 3 y=- 3 x+ 1x+ 2 y= 5 x+ 3 y=- 5 4 x- 5 y= 20SECTION 3.1 The Rectangular Coordinate System 145
xy
0
0
1- 1
xy
0
0
2
2xy
0
0
2- 3
xy
0
0
3- 2
xy
0
1
2
3xy
0
1
2
3