What is the slope of the line passing through the following points:  (-3, -1) ; (-1, 5)?

Jan 3, 2016

The slope, $m$, is $3$.

Explanation:

The equation for finding the slope of a line from two points is $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} , {x}_{1}}$, where $m$ is the slope, $\left({x}_{1} , {y}_{1}\right)$ is on point and $\left({x}_{2} , {y}_{2}\right)$ is the other point.

Point 1:$\left(- 3 , - 1\right)$
Point 2:$\left(- 1 , 5\right)$

Substitute the values for the points into the equation.

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} , {x}_{1}}$

$m = \frac{5 - \left(- 1\right)}{- 1 - \left(- 3\right)}$

Simplify.

$m = \frac{5 + 1}{- 1 + 3}$

Simplify.

$m = \frac{6}{2}$

Simplify.

$m = 3$