# How do you find the slope of a line perpendicular to (4, 6) and (5, –5)?

Jul 28, 2016

$\frac{1}{11}$

#### Explanation:

First find the slope of the line joining the 2 given points:

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

$m = \frac{- 5 - 6}{5 - 4} = \frac{- 11}{1} = - 11$

Slopes which are perpendicular are negative reciprocals of each other. (Turn the slope upside down and change the sign.)

$- \frac{11}{1} \text{ becomes } \frac{1}{11}$