Answer:
The answer to your question is:
Step-by-step explanation:
Data
A (-2, 0)
B (2, 3)
C (5, -1)
Process
Slope AB m = (3 - 0) / (2 + 2)
m = 3/4
Slope AC m = (-1 - 0) / 5 + 2)
= -1 /7
Slope BC m = (-1 -3)/ (5 - 2)
= -4/3
17. 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 = 3/4
point (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
