# What is the slope of the line passing through the following points:  (-7, -4) , (-2, 4)?

May 8, 2016

The slope $= \frac{8}{5}$

#### Explanation:

$\left(- 7 , - 4\right) = \textcolor{b l u e}{{x}_{1} , {y}_{1}}$

$\left(- 2 , 4\right) = \textcolor{b l u e}{{x}_{2} , {y}_{2}}$

The slope  = color(blue)((y_2- y_1) / (x_2 - x_1)

$= \frac{4 - \left(- 4\right)}{- 2 - \left(- 7\right)}$

$= \frac{4 + 4}{- 2 + 7}$

$= \frac{8}{5}$