1. Rate of Change and Slope
ALGEBRA 1 LESSON 6-1
10. 2
11. 2
12.
13. –
14. –1
15. –1
16.
17.
18. –
19. –
20.
21. –5
22. 0
23. undefined
24. 0
25. undefined
26. 0
in./month
28. $5/person
mi/hr
30.
1 2
pages 286–289  Exercises
1. 3; the temperature increases 3°F each hour.
; the cost per person is $3.95.
3. – gal/mi
4. ; there are 2 lb of carbon
emissions for 3 h of television use.
5. –16 ; the skydiver descends 16 ft/s.
6. ; the cost of oregano is $1 for 4 ounces. 7.
8. –3 9.
3 4 1 15
3 2
2 3
2 3
2 3
1 4
5 9 9 10
1 2
5 3
6 5
2 3
1 2
2 5
6-1

2. Rate of Change and Slope
ALGEBRA 1 LESSON 6-1
31.
32.
33. –20
34. undefined
35. –3
36.
37.
1 6
38.
39.
40. a. C
b. C greatest;
A least; the slope
41. a. b.
c. Answers may vary.
Sample: =
; 3
43. No; for example the line passing through the points such as (1, 6) and (2, 5) has a slope of –1.
44. PQ: ; QR: 0; RS: 5; SP: –1
45. JK: – ; KL: 2; ML: – ;MJ: 2 2 3
1 4 2 3
y2 – y1
x2 – x1
y1 – y2
x2 – x1 2 5 3 5 1 2 1 2
6-1

3. Rate of Change and Slope
ALGEBRA 1 LESSON 6-1
46. a.
b. c.
d. equal
47. a. Answers may vary.
Sample: (0, 0), (1, )
b. Answers may vary.
Sample: (0, 0), (1, – )
48. 0
49. –6
50. 6
51. 4
52. 12
53. 3
54–60. Counter examples may vary.
54. False; it can be neg.
or undefined.
55. true
56. False; y = x + 2
57. true
58. False; y = x
59. False; y = 0x
60. true
61. a.111; $111/h
b. 52 customers per h 3 4 2 1
6-1

4. Rate of Change and Slope
ALGEBRA 1 LESSON 6-1
62. Friend found instead
of .
63. 0
64. –
65.
66. Yes; AB and BC have
the same slope.
67. Yes; GH and HI have
68. No; DE and EF do not
have the same slope.
69. No; PQ and QR do not
have the same slope.
70. Yes; GH and HI have
the same slope.
71. No; ST and TU do not
72. C
73. G
74. [2] = ; the slope is .
= 12.5%; the grade
is 12.5%.
[1] finds grade only
75. A
76. c = 3.5n
77. p = 4.95q – 232
78. 0
79.
80.
81. 1
82. –3
83. –4
84.
85. 7
86. 5
87. –10
run
rise
rise
run 1 2 n 2m 1 3
2d – b
c – 2a 3 24 1 8 1 8 19 9 1 8
6-1