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

May 10, 2018

$m = \frac{13}{7}$

#### Explanation:

First you find the slope of the given points

by the formula

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$m = \frac{4 - \left(- 3\right)}{- 1 - 12} = - \frac{7}{13}$

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

$\frac{13}{7}$