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

  18. 35. m = 1 ,  b =  − 4

  19. 37. m = 52 ,  b =  − 20

  20. 39. m =  − 35 ,  b = 38

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