# What is the slope of the line passing through the following points: (5, 3), (-1, 5) ?

Feb 26, 2016

The slope is $m = - \frac{1}{3}$

#### Explanation:

The formula for slope is $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

For the points (5,3) and (-1,5) where
${x}_{1} = 5$
${y}_{1} = 3$
${x}_{2} = - 1$
${y}_{2} = 5$

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

$m = \frac{5 - 3}{- 1 - 5}$

$m = \frac{2}{-} 6$

$m = - \frac{1}{3}$