Write the equation

i’ll give a BRAINIST & 20 POINTS:)

y=5/2x-16

Step-by-step explanation:

First, we want to find the slope of the original line.

m= -4+8/-1-9

m= 4/-10

m= -2/5

Because we want the perpendicular bisector, we will need the slope to be the opposite reciprocal. Therefore, our slope is

m=5/2

Now, we want to find the midpoint of the line.

9-1/2

8/2=4

-8-4/2

-12/2= -6

So, the midpoint is (4,-6)

Using the information we have, we now can find b.

-6=5/2(4)+b

-6=10+b

-16=b

That gives us our equation

y=5/2x-16

step-by-step explanation: