Question

What is the slope of any line perpendicular to the line passing through `(12,-3)` and `(-1,4)`?

Answer 1

`m = 13/7`

Explanation:

First you find the slope of the given points

by the formula

`m = (y_2-y_1)/(x_2-x_1)`

`m=(4-(-3))/(-1-12) = -7/13`

so the slope of a perpendicular line to the given line is the reciprocal of the slope of that line with changing the sign too

so the perpendicular line slope is

`13/7`