Let `A(6,4)a n dB(2,12)` be two given points. Find the slope of a line perpendicular to AB.

Explanation

Let `m` be the slope of `A B`. Then,

`m=frac{12-4}{2-6}=frac{8}{-4}=-2 text {. }`

So, the slope of a line perpendicular to `A B` is

`frac{-1}{m}=frac{1}{2} text {. }`