B Apply

Graph each line.

38. x = 3 x equals 3
39. y = − 2 y equals , minus 2
40. x = 9 x equals 9
41. y = 4 y equals 4
42. Open-Ended Write equations for three lines that contain the point (5, 6).
43. Think About a Plan You want to construct a “funbox” at a local skate park. The skate park's safety regulations allow for the ramp on the funbox to have a maximum slope of 4 11 . 4 elevenths , .  If you use the funbox plan below, can you build the ramp to meet the safety regulations? Explain.
    • What information do you have that you can use to find the slope?
    • How can you compare slopes?

Write each equation in slope-intercept form.

44. y − 5 = 2 ( x + 2 ) y minus 5 equals . 2 open x plus 2 close
45. y + 2 = − ( x − 4 ) y plus , 2 equals , minus open x minus 4 close
46. − 5 x + y = 2 negative 5 x plus . y equals 2
47. 3 x + 2 y = 10 3 x plus . 2 y equals 10
48. Science The equation P = − 1 33 d + 1 p equals negative , 1 thirty third , d plus 1  represents the pressure P in atmospheres a scuba diver feels d feet below the surface of the water.
    1. What is the slope of the line?
    2. What does the slope represent in this situation?
    3. What is the y-intercept (P-intercept)?
    4. What does the y-intercept represent in this situation?

Graph each pair of lines. Then find their point of intersection.

49. y = − 4 , x = 6 y equals , minus 4 comma , x equals 6
50. x = 0 , y = 0 x equals 0 comma . y equals 0
51. x = − 1 , y = 3 x equals , minus 1 comma , y equals 3
52. y = 5 , x = 4 y equals 5 comma . x equals 4
53. Accessibility By law, the maximum slope of an access ramp in new construction is 1 12 . 1 twelfth , .  The plan for the new library shows a 3-ft height from the ground to the main entrance. The distance from the sidewalk to the building is 10 ft. If you assume the ramp does not have any turns, can you design a ramp that complies with the law? Explain.
54. 1. What is the slope of the x-axis? Explain.
    2. Write an equation for the x-axis.
55. 1. What is the slope of the y-axis? Explain.
    2. Write an equation for the y-axis.
56. Reasoning The x-intercept of a line is 2 and the y-intercept is 4. Use this information to write an equation for the line.
57. Coordinate Geometry The vertices of a triangle are A(0, 0), B(2, 5), and C(4, 0).
    1. Write an equation for the line through A and B.
    2. Write an equation for the line through B and C.
    3. Compare the slopes and the y-intercepts of the two lines.

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