Point-Slope Form and Writing Linear Equations

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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. 6-4

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 6-4

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 6-4

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 + 315.6 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. 14.75 b. 57.5 c. –4 d. 100 3 5 1 33 2 14 65. 66. 9 67. 68. 4 69. 6 70. 71. 7 6-4

Point-Slope Form and Writing Linear Equations ALGEBRA 1 LESSON 6-4 72. 73. 74. 75. 76. 5; 3; 8 77. ; ; 78. 0.07; 2.66; 2.73 79. –0.05; –3.35; –3.4 80. 17; 69; 86 81. 4; 5; 9 2 6 3 11 16 6-4