B Apply

Graph each equation.

37. y = − 1 2 x − 3 2 y equals negative , 1 half , x minus , 3 halves
38. y = − 2 x + 3 y equals negative 2 x plus 3
39. y = − x + 7 y equals negative x plus 7
40. 3 y − 2 x = − 12 3 y minus 2 x equals negative 12
41. 4 x + 5 y = 20 4 x plus 5 y equals 20
42. 4 x − 3 y = − 6 4 x minus 3 y equals negative 6
43. 2 3 x + y 3 = − 1 3 2 thirds , x plus , y over 3 , equals negative , 1 third
44. x = 5 x equals 5
45. 2.4 = − 3.6 x − 0.4 y 2.4 equals negative 3.6 x minus 0.4 y
46. Think About a Plan Suppose the equation y = 12 + 10 x y equals 12 plus 10 x  models the amount of money in your wallet, where y is the total in dollars and x is the number of weeks from today. If you graphed this equation, what would the slope represent in the situation? Explain.
    • Is the equation in slope-intercept form?
    • What units make sense for the slope?

Find the slope and y-intercept of each line.

Find the slope and y-intercept of each line.

50. y = 0.4 − 0.8 x y equals 0.4 minus 0.8 x
51. x = − 3 x equals negative 3
52. y = 0 y equals 0
53. − 1 3 x − 2 3 y = 5 3 negative , 1 third , x minus , 2 thirds , y equals , 5 thirds
54. − A x + B y = − C negative eh x plus b y equals negative c
55. A D x + B D y = C D eh over d , x plus , b over d , y equals , c over d
56. The equation d = 4 − 1 15 t d equals 4 minus , 1 fifteenth , t  represents your distance from home d for each minute you walk t.
    1. If you graphed this equation, what would the slope represent? Explain.
    2. Are you walking towards or away from your home? Explain.

57. Reasoning Use the graph to find the slope between the following points on the line.

    

    1. P and Q
    2. Q and S
    3. S and P
    4. R and Q
    5. Make a conjecture based on your answers to parts (a)–(d).
58. Error Analysis A classmate says that the graph of 3 y − 2 x = 5 3 y minus 2 x equals 5  has a slope of 2. What mistake did he make?

Find the slope of the line through each pair of points.

59. ( 3 2 , − 1 2 )  and  ( − 2 3 , 1 3 ) open . 3 halves , comma negative , 1 half . close . and . open . negative , 2 thirds , comma , 1 third . close
60. ( − 1 2 , − 1 2 )  and  ( − 3 , − 4 ) open . negative , 1 half , comma negative , 1 half . close . and , open negative 3 comma negative 4 close
61. ( 0 , − 1 2 )  and  ( 7 5 , 10 ) open . 0 comma negative , 1 half . close . and . open . 7 fifths , comma 10 . close

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