# What is the slope of the line passing through the following points: (1, -1); (-4, -2)?

Jan 28, 2016

Slope $m = \frac{1}{5}$

#### Explanation:

Given -

${x}_{1} = 1$
${y}_{1} = - 1$
${x}_{2} = - 4$
${y}_{2} = - 2$

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{- 2 - \left(- 1\right)}{- 4 - 1} = \frac{- 2 + 1}{-} 5 = \frac{- 1}{- 5} = \frac{1}{5}$