Solutions

Solutions to Try Its

1. x-intercept is (4,0); y-intercept is (0,3).

This is an image of a line graph on an x, y coordinate plane. The x and y axes range from negative 4 to 6. The function y = -3x/4 + 3 is plotted.

2. (5,52)

Solutions to Odd-Numbered Exercises

1. Answers may vary. Yes. It is possible for a point to be on the x-axis or on the y-axis and therefore is considered to NOT be in one of the quadrants.

3. The y-intercept is the point where the graph crosses the y-axis.

5. The x-intercept is (2,0) and the y-intercept is (0,6).

7. The x-intercept is (2,0) and the y-intercept is (0,3).

9. The x-intercept is (3,0) and the y-intercept is (0,98).

11. y=42x

13. y=52x3

15. y=2x45

17. d=74

19. d=36=6

21. d62.97

23. (3,32)

25. (2,1)

27. (0,0)

29. y=0

31. not collinear

This is an image of an x, y coordinate plane with the x and y axes ranging from negative 5 to 5. The points (0,4); (-1,2) and (2,1) are plotted and labeled.

33. (3,2),(1,3),(4,0)

35.

x y
3 1
0 2
3 3
6 4

This is an image of an x, y coordinate plane with the x and y axes ranging from negative 10 to 10. The points (-3, 1); (0, 2); (3, 3) and (6, 4) are plotted and labeled. A line runs through all these points.

37.

x y
–3 0
0 1.5
3 3

This is an image of an x, y coordinate plane with the x and y axes ranging from negative 10 to 10. The points (-3, 0); (0, 1.5) and (3, 3) are plotted and labeled. A line runs through all of these points.

39.
This is an image of an x, y coordinate plane with the x and y axes ranging from negative 10 to 10. The points (8, 0) and (0, -4) are plotted and labeled. A line runs through both of these points.

41.
This is an image of an x, y coordinate plane with the x and y axes ranging from negative 10 to 10. The points (0, 2) and (3, 0) are plotted and labeled. A line runs through both of these points.

43. d=8.246

45. d=5

47. (3,4)

49. x=0 y=2

51. x=0.75 y=0

53. x=1.667 y=0

55. 15-11.= 3.8 mi shorter

57. 6.042

59. Midpoint of each diagonal is the same point (2,2). Note this is a characteristic of rectangles, but not other quadrilaterals.

61. 37 mi

63. 54 ft