Answer:
No
Step-by-step explanation:
If the lines are perpendicular then they will be the negative reciprocals of each other.
Calculate the slope using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = P(- 8, - 10) and (x₂, y₂ ) = Q(- 5, - 12)
[tex]m_{PQ}[/tex] = [tex]\frac{-12+10}{-5+8}[/tex] = - [tex]\frac{2}{3}[/tex]
Repeat the process with
(x₁, y₁ ) = R(9, - 6) and (x₂, y₂ ) = S(17, - 5)
[tex]m_{RS}[/tex] = [tex]\frac{-5+6}{17-9}[/tex] = [tex]\frac{1}{8}[/tex]
The slopes are not the negative reciprocal of each other, thus they are not perpendicular.
