1 Answer

Marten · Answer 1 · 2020-01-28T04:56:19+0000

Answer:

A.
y=-(8)/(7)x-(18)/(7)

Explanation:

Let
y=mx+b be the equation of the perpendicular line.

Two perpendicular lines have slopes with product equal to -1. The slope of the given line is
(7)/(8) Hence,

$(7)/(8)\cdot m=-1\\ \\m=-(8)/(7)$

is the slope of needed line.

This line passes through the point (-4,2), so its coordinates satisfy the equation:

$2=-(8)/(7)\cdot (-4)+b\\ \\b=2-(32)/(7)=-(18)/(7)$

Therefore, the equation of the line is

y=-(8)/(7)x-(18)/(7)

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