Question

Please Help I will mark brainliest !!!

Answer 1

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)

$m_{PQ}$ = $\frac{-12+10}{-5+8}$ = - $\frac{2}{3}$

Repeat the process with

(x₁, y₁ ) = R(9, - 6) and (x₂, y₂ ) = S(17, - 5)

$m_{RS}$ = $\frac{-5+6}{17-9}$ = $\frac{1}{8}$

The slopes are not the negative reciprocal of each other, thus they are not perpendicular.