Solutions

Solutions to Try Its

1. x-intercept is [latex]\left(4,0\right)[/latex]; y-intercept is [latex]\left(0,3\right)[/latex].

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. [latex]\left(-5,\frac{5}{2}\right)[/latex]

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 [latex]\left(2,0\right)[/latex] and the y-intercept is [latex]\left(0,6\right)[/latex].

7. The x-intercept is [latex]\left(2,0\right)[/latex] and the y-intercept is [latex]\left(0,-3\right)[/latex].

9. The x-intercept is [latex]\left(3,0\right)[/latex] and the y-intercept is [latex]\left(0,\frac{9}{8}\right)[/latex].

11. [latex]y=4 - 2x[/latex]

13. [latex]y=\frac{5 - 2x}{3}[/latex]

15. [latex]y=2x-\frac{4}{5}[/latex]

17. [latex]d=\sqrt{74}[/latex]

19. [latex]d=\sqrt{36}=6[/latex]

21. [latex]d\approx 62.97[/latex]

23. [latex]\left(3,\frac{-3}{2}\right)[/latex]

25. [latex]\left(2,-1\right)[/latex]

27. [latex]\left(0,0\right)[/latex]

29. [latex]y=0[/latex]

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. [latex]\left(-3,2\right),\left(1,3\right),\left(4,0\right)[/latex]

35.

[latex]x[/latex] [latex]y[/latex]
[latex]-3[/latex] 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. [latex]d=8.246[/latex]

45. [latex]d=5[/latex]

47. [latex]\left(-3,4\right)[/latex]

49. [latex]x=0\text{ }y=-2[/latex]

51. [latex]x=0.75\text{ }y=0[/latex]

53. [latex]x=-1.667\text{ }y=0[/latex]

55. [latex]\text{15}\text{-11}.\text{2 }=\text{ 3}.8[/latex] mi shorter

57. [latex]\text{6}.0\text{42}[/latex]

59. Midpoint of each diagonal is the same point [latex]\left(2,2\right)[/latex]. Note this is a characteristic of rectangles, but not other quadrilaterals.

61. [latex]\text{37}[/latex] mi

63. 54 ft