# How do you find the slope of the line that passes through (8,-2), (1,1)?

Nov 22, 2016

$- \frac{3}{7}$

#### Explanation:

First, find the slope. Let ${x}_{1} = 8$, ${x}_{2} = 1$, ${y}_{1} = - 2$, and ${y}_{2} = 1$.
Then substituting these numbers into the slope formula, we get...
$m = \frac{{y}_{1} - {y}_{2}}{{x}_{1} - {x}_{2}}$

$m = \frac{- 2 - 1}{8 - 1}$

$m = \frac{- 3}{7} = - \frac{3}{7}$

So our slope, designated by $m$, is $- \frac{3}{7}$.