Exercises 5.1, page 146

  1. 1. x =  − 3 ,  y =  − 10

  2. 3. The slope is 23 and the y-intercept is (0 ,   − 43) . 

  3. 5. Linear

  4. 7. Not linear

  5. 9. Yes; no

  6. 11. Yes; yes

  7. 13. 3 ,   − 212

  8. 15. 14 ,   − 0.6

  9. 17. 4

  10. 19.  − 5

  11. 21. 27

  12. 23. 12

  13. 25.

    A line rises through (0, negative 1) with a rise of 2 units and run of 1 unit.

  14. 27.

    A horizontal line passes through (0, 5).

  15. 29.

    A line rises through (0, 0) with a rise of 1 and run of 2.

  16. 31.

    A line falls through (0, 20) with a rise of negative 9 and run of 1.

  17. 33. m =  − 2 ,  b = 1

    A line falls through (0, 1) with a rise of negative 2 and run of 1.

  18. 35. m = 1 ,  b =  − 4

    A line rises through (0, negative 4) with a rise of 1 and run of 1.

  19. 37. m = 52 ,  b =  − 20

    A line rises through (0, negative 20) with a rise of 5 and run of 2.

  20. 39. m =  − 35 ,  b = 38

    A line falls through (0, three-eighths) with a rise of negative 3 and run of 5.

  21. 41.

    A line falls through (0, 2) and (4, 0).

  22. 43.

    A line rises through (0, negative 4) and (3, 0).

  23. 45.

    A line rises through (negative 2, 0) and (0, 6).

  24. 47.

    A line falls through (0, 30) and (5 over 2, 0).

  25. 49. s = 32.5d − 84.714 ,  62 kN/mm

  26. 51. v = 5.689d − 45.582 , 39.8 ft3

  27. 53. (a, 0), (0, b)

  28. 55. No

  29. 57.

    A line segment rises from (0, 1.2) to (10, 3.2).

  30. 59.

    A line rises through (0, negative 0.4) and (0.5, 0).

  31. 61. h = 2500 − 150t

    A line segment falls from (0, 2500) to (10, 1000).
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