MATH SOLVE

5 months ago

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