# How do you find the slope of the line through (-4,-8); (-2,0)?

Aug 4, 2015

Slope of line through $\left({x}_{1} , {y}_{1}\right) = \left(- 4 , - 8\right)$ and $\left({x}_{2} , {y}_{2}\right) = \left(- 2 , 0\right)$is
$\textcolor{w h i t e}{\text{XXXX}}$4

#### Explanation:

The slope between $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is given by the formula:
$\textcolor{w h i t e}{\text{XXXX}}$$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

For the given data points:
$\textcolor{w h i t e}{\text{XXXX}}$$m = \frac{0 - \left(- 8\right)}{- 2 - \left(- 4\right)} = \frac{8}{2} = 4$