# What is the slope of the line passing through the following points:  (-2,1), (4,11)?

Feb 8, 2016

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

#### Explanation:

Given -

${x}_{1} = - 2$
${y}_{1} = 1$
${x}_{2} = 4$
${y}_{2} = 11$

Slope $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{11 - 1}{4 - \left(- 2\right)} = \frac{10}{4 + 2} = \frac{10}{6} = \frac{5}{3}$

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