Question

Identify an equation in point-slope form for the line perpendicular to y= -1/2x+11 that passes through (4,-8).

Answer 1

y+8=2(x-4)

y+8=2x-8

y=2x-16

Answer 2

`y = 2x-16`

Explanation:

Given is an equation as

`y=(-x)/(2) +11`

We are to find a perpendicular line for this line which passes through (4,-8)

The given line has slope as -1/2

Hence perpendicular line will slope as 2.

Since it passes through (4,-8) we can use point slope form

`y-(-8) =2(x-4)\\y +8 =2x-8\\y = 2x-16`

is the required equation.