# What is the slope of the line passing through the following points:  (-1,-1) , (-3,13)?

Feb 17, 2016

The slope $= - 7$

#### Explanation:

The points are :
$\left(- 1 , - 1\right) = \textcolor{b l u e}{{x}_{1} , {y}_{1}}$

$\left(- 3 , 13\right) = \textcolor{b l u e}{{x}_{2} , {y}_{2}}$

The slope is calculated using formula:

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

$= \frac{13 - \left(- 1\right)}{- 3 - \left(- 1\right)}$

$= \frac{13 + 1}{- 3 + 1}$

$= \frac{14}{- 2}$

$= - 7$