Exercise Answers: Module 42

Answers

1. \left(3,0\right),\left(0,3\right) 3. \left(5,0\right),\left(0,-5\right)
5. \left(-2,0\right),\left(0,-2\right) 7. \left(-1,0\right),\left(0,1\right)
9. \left(6,0\right),\left(0,3\right) 11. \left(0,0\right)
13. \left(4,0\right),\left(0,4\right) 15. \left(-2,0\right),\left(0,-2\right)
17. \left(5,0\right),\left(0,-5\right) 19. \left(-3,0\right),\phantom{\rule{0.2em}{0ex}}\text{}\phantom{\rule{0.2em}{0ex}}\left(0,3\right)
21. \left(8,0\right),\left(0,4\right) 23. \left(2,0\right),\left(0,6\right)
25. \left(12,0\right),\left(0,-4\right) 27. \left(2,0\right),\left(0,-8\right)
29. \left(5,0\right),\left(0,2\right) 31. \left(4,0\right),\left(0,-6\right)
33. \left(-3,0\right),\left(0,1\right) 35. \left(-10,0\right),\left(0,2\right)
37. \left(0,0\right) 39. \left(0,0\right)
41.

Graph of the equation −x + 5y = 10. The x-intercept is the point (−10, 0) and the y-intercept is the point (0, 2).

 43.

Graph of the equation x + 2 = 4. The x-intercept is the point (4, 0) and the y-intercept is the point (0, 2).
45.

Graph of the equation x + y = 2. The x-intercept is the point (2, 0) and the y-intercept is the point (0, 2).

 47.

Graph of the equation x + y = −3. The x-intercept is the point (−3, 0) and the y-intercept is the point (0, −3).
49.

Graph of the equation x − y = 1. The x-intercept is the point (1, 0) is the y-intercept is the point (0, −1).

 51.

Graph of the equation x − y = −4. The x-intercept is the point (−4, 0) and the y-intercept is the point (0, 4).
53.

Graph of the equation 4x + y = 4. The x-intercept is the point (1, 0) and the y-intercept is the point (0, 4).

  

55.

Graph of the equation 2x + 4y = 12. The x-intercept is the point (6, 0) and the y-intercept is the point (0, 3).
57.

Graph of the equation 3x − 2y = 6. The x-intercept is the point (2, 0) and the y-intercept is the point (−3, 0).

 59.

Graph of the equation 2x − 5y = −20. The x-intercept is the point (−10, 0) and the y-intercept is the point (4, 0).
61.

Graph of the equation 3x − y = −6. The x-intercept is the point (−2, 0) and the y-intercept is the point (0, 6).

 63.

Graph of the equation y = 3 halves x − 3. The x-intercept is the point (2, 0) and the y-intercept is the point (0, −3).
65.

Graph of the equation y = x. Both the x-intercept and the y-intercept is the point (0, 0).

 67.

a)\left(0,1000\right),\left(15,0\right)
b) At \left(0,1000\right), he has been gone 0 hours and has 1000 miles left. At \left(15,0\right), he has been gone 15 hours and has 0 miles left to go.
69. Answers will vary. 71. Answers will vary.

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