Question

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

Answer 1

Answer:

$y = 2x-16$

Step-by-step explanation:

Given is an equation as

$y=\frac{-x}{2} +11$

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.

Answer 2

y+8=2(x-4)

y+8=2x-8

y=2x-16