# What is the slope of any line perpendicular to the line passing through (44,35) and (-2,-3)?

Jun 17, 2018

$m = - \frac{23}{19}$

#### Explanation:

We have
$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{- 3 - 35}{- 2 - 44} = \frac{38}{46} = \frac{19}{23}$
so the slope of the perpendicular line is given by

${m}_{P} = - \frac{23}{19}$