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nevsk [136]
2 years ago
13

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

Mathematics
1 answer:
lions [1.4K]2 years ago
5 0

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.

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