Q:

16. Slope AB=____, Slope AC=_____, Slope BC=_______.17. Which slope in item 16 is the steepest? ________18. Is triangle ABC a right triangle? If so show why.19. Write the equation of a line through C that is parallel to AB (or just give coordinates)20. Write the equation of a line through B that is perpendicular to AC.

Accepted Solution

A:
Answer:The answer to your question is:Step-by-step explanation:DataA (-2, 0)B (2, 3)C (5, -1)Process Slope AB    m = (3 - 0) / (2 + 2)                   m = 3/4Slope AC    m = (-1 - 0) / 5 + 2)                       = -1 /7Slope BC    m = (-1 -3)/ (5 - 2)                       = -4/317. Which slope in item 16 is the steepest? __AC___ 18. Is triangle ABC a right triangle? If so show why.  Yes, it's a right triangle because slope AB is perpendicular to slope AC, then they form an angle of 90°.    (3/4)(-4/3) = -1 19. Write the equation of a line through C that is parallel to AB (or just give coordinates) slope = 3/4point (5,-1)                               (y - y1)= m(x - x1)                                y + 1 = 3/4(x - 5)                               y + 1 = 3/4x - 15/4                               y = 3/4x - 15/4 -1                               y = 3/4 x - 19/4 20. Write the equation of a line through B that is perpendicular to AC. B (2, 3)slope = 7                            y - 3 = 7(x - 2)                           y - 3 = 7x - 14                           y = 7x - 14 + 3                           y = 7x - 11