Question

Help ASAP! Will give brainliest if correct. aa god pls be correct

Answer 1

Answer:

Option D: $\frac{3}{2}$ is the correct answer.

Step-by-step explanation:

Given points are:

P(-8,5) and Q(-2,1)

Slope is the steepness of a straight line.

We will find slope of PQ

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{1-5}{-2-(-8)\\m=\frac{-4}{-2+8}\\m=\frac{-4}{6}\\m=\frac{-2}{3}$

The product of slopes of two perpendicular lines is equal to -1.

Let,

x be the slope of other line.

m.x = -1

$\frac{-2}{3}x=-1\\x=\frac{3}{2}$

Therefore,

The slope of a line perpendicular to the line PQ is $\frac{3}{2}$.

Hence,

Option D: $\frac{3}{2}$ is the correct answer.