Question

HELP PLEASE ASAP I REALLY DONT KNOW HOW TO DO THIS

What is the slope of a line perpendicular to the line containing the points $(-1,2)$ and $(1,-2)$? Express your answer as a common fraction. Enter your answer

Answer 1

`(1)/(2)`

Explanation:

Calculate the slope of the line m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (1, - 2)

m =
`(-2-2)/(1+1)` =
`(-4)/(2)` = - 2

Given a line with slope m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-2)` =
`(1)/(2)`