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Exercise Answers: Module 43

Answers

1. \dfrac{1}{4} 3. \dfrac{2}{3}
5. \dfrac{-3}{2}=-\dfrac{3}{2} 7. -\dfrac{3}{4}
9.

The figure shows a grid of evenly spaced pegs. There are 5 columns and 5 rows of pegs. A rubber band is stretched between the peg in column 2, row 5 and the peg in column 5, row 3, forming a line.

 11.

The figure shows a grid of evenly spaced pegs. There are 5 columns and 5 rows of pegs. A rubber band is stretched between the peg in column 1, row 4 and the peg in column 5, row 3, forming a line.
13.

The figure shows a grid of evenly spaced pegs. There are 5 columns and 5 rows of pegs. A rubber band is stretched between the peg in column 1, row 4 and the peg in column 3, row 5, forming a line.

 15.

The figure shows a grid of evenly spaced pegs. There are 5 columns and 5 rows of pegs. A rubber band is stretched between the peg in column 1, row 2 and the peg in column 4, row 4, forming a line.
17. \dfrac{2}{5} 19. \dfrac{5}{4}
21. -\dfrac{1}{3} 23. -\dfrac{3}{4}
25. \dfrac{3}{4} 27. -\dfrac{5}{2}
29. -\dfrac{2}{3} 31. \dfrac{1}{4}
33. 0 35. undefined
37. 0 39. undefined
41. \dfrac{5}{2} 43. \dfrac{3}{4}
45. -\dfrac{5}{2} 47. -\dfrac{8}{7}
49. \dfrac{7}{3} 51. -1
53.

The graph shows the x y coordinate plane. The x and y-axes run from negative 12 to 12. A line passes through the points (1, negative 2) and (5, 1).

 55.

The graph shows the x y coordinate plane. The x and y-axes run from negative 12 to 12. A line passes through the points (2, 5) and (5, 4).
57.

The graph shows the x y coordinate plane. The x and y-axes run from negative 12 to 12. A line passes through the points (negative 3, 4) and (negative 1, 1).

 59.

The graph shows the x y coordinate plane. The x and y-axes run from negative 12 to 12. A line passes through the points (negative 1, negative 4) and intercepts the x-axis at (2, 0).
61.

The graph shows the x y coordinate plane. The x and y-axes run from negative 12 to 12. A line intercepts the y-axis at (0, 3) and passes through the point (5, 1).

 63.

The graph shows the x y coordinate plane. The x and y-axes run from negative 12 to 12. A line intercepts the x-axis at (negative 2, 0) and passes through the point (2, 3).
65.

The graph shows the x y coordinate plane. The x and y-axes run from negative 12 to 12. A line passes through the points (negative 3, 3) and (negative 2, 5).

 67.

The graph shows the x y coordinate plane. The x and y-axes run from negative 12 to 12. A line passes through the points (1, 5) and (2, 2).
69. a)\dfrac{1}{3} b) 4 12 pitch or 4-in-12 pitch 71. \dfrac{3}{50}; rise = 3, run = 50
73. a) 288 inches (24 feet) b) Models will vary. 75. When the slope is a positive number the line goes up from left to right. When the slope is a negative number the line goes down from left to right.
77. A vertical line has 0 run and since division by 0 is undefined the slope is undefined.

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