1. Point-Slope Form and Writing Linear Equations
ALGEBRA 1 LESSON 6-4
pages 307–309  Exercises 1. 2. 3. 7. 8. 9. 4. 5. 6.
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2. Point-Slope Form and Writing Linear Equations
ALGEBRA 1 LESSON 6-4
10. y + 4 = 6(x – 3)
11. y – 2 = – (x – 4)
12. y – 2 = (x)
13. y + 7 = – (x + 2)
14. y = 1(x – 4)
15. y + 8 = –3(x – 5)
16. y – 2 = 0(x + 5) or
y = 2
17. y + 8 = – (x – 1)
18. y – 1 = (x + 6)
19–30. Answers may vary for
the point indicated by
the equation.
19. y = 1(x + 1);
y = x + 1
20. y – 5 = (x – 3);
y = x
21. y + 2 = – (x – 4);
y = – x +
22. y + 4 = –1(x – 6);
y = –x + 2
23. y + 5 = (x + 1);
y = x –
24. y + 4 = (x + 3);
y = x – 3
25. y – 7 = 11(x – 2);
y = 11x – 15
26. y – 6 = – (x + 2);
y = – x + 4
27. y + 8 = – (x – 3);
y = – x –
28. y – = (x – 1);
29. y – 2 = –1(x – );
y = –x +
30. y – 1.1 = (x – 0.2);
y = x + 5 3 4 2 1 6 14 29 7 13
1.9
6.8
7.1
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3. Point-Slope Form and Writing Linear Equations
ALGEBRA 1 LESSON 6-4 3 2
46. y – 2 = – (x – 2);
5x + 3y = 16
47. y – 1 = – (x + 7);
x + 6y = –1
48. y – 4 = – (x + 8);
3x + 2y = –16
49. y – 4 = 2(x – 2);
–2x + y = 0
50. y – 3 = –2(x – 5);
2x + y = 13
51. y – 1 = x; –x + 3y = 3
52. y – 4 = – (x + 2);
9x + 2y = –10 5 3
31. Yes; answers may vary.
Sample: y – 9 = –2(x + 4)
32. Yes; answers may vary.
Sample: y – 40 = 3(x – 5)
33. no
34. Yes; answers may vary.
Sample: y – 75 = 10(x – 10)
35. no
36–53. Answers may vary for
point indicated by the
equation.
36. y – 2 = (x – 1)
37. y + 3 = (x – 1)
38. y = – (x – 5)
39. y – 4 = (x – 1);
–3x + 2y = 5
40. y + 3 = 0(x – 6);
y = –3
41. y + 2 = 2(x + 1);
–2x + y = 0
42. y – 2 = 0(x – 0);
y = 2
43. y – 6 = – (x + 6);
x + 3y = 12
44. y – 3 = – (x – 2);
2x + 3y = 13
45. y + 3 = – (x – 5);
7x + 2y = 29 1 6 3 2 1 3 3 4 2 3 1 3 2 5 7 2 9 2 5 7
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4. Point-Slope Form and Writing Linear Equations
ALGEBRA 1 LESSON 6-4
53. y – 2 = (x – 6);
–3x + 5y = –8
54. a. y = – x + 1
b. about 4 atmospheres
55. y = –2.6x
56. a. Answers may vary.
Sample: y + 6 = 2(x + 4);
chose slope and substituted
into y – y1 = m(x – x1)
b. infinite; infinite number
of slopes
57. y-intercept changes
58. Yes; the point satisfies
the equation.
59. Answers may vary.
Sample:
a. y = x + 1
b. –x + y = 1
c. y – 1 = 1(x – 0)
60. a. Answers may vary.
Sample: y – 332 = (x – 0)
b. 341 m/s
c. 368 m/s
61. y = 7x + 16
62. y = 3
63. y = x –
64. a
b. 57.5
c. –4
d. 100 3 5 1 33 2 14
65.
66. 9
67.
68. 4
69. 6
70.
71. 7
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5. Point-Slope Form and Writing Linear Equations
ALGEBRA 1 LESSON 6-4
72.
73.
74.
75.
76. 5; 3; 8
77. ; ;
; 2.66; 2.73
79. –0.05; –3.35; –3.4
80. 17; 69; 86
81. 4; 5; 9 2 6 3 11 16
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