We've updated our
Privacy Policy effective December 15. Please read our updated Privacy Policy and tap

TEXT
Unlock Solution Steps
Sign in to
Symbolab
Get full access to all Solution Steps for any math problem
By continuing, you agree to our Terms of Use
and have read our Privacy Policy

Study Guides > College Algebra

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

Licenses & Attributions

CC licensed content, Specific attribution