# What is the slope of the line passing through the following points:  (5,-8) ,(-7, -4)?

Dec 31, 2015

The slope, $m$, is $- \frac{1}{3}$.

#### Explanation:

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

Let $\left(5 , - 8\right)$ be Point 1.
Let $\left(- 7 , - 4\right)$ be Point 2.

Substitute the given values into the equation.

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

$m = \frac{- 4 - \left(- 8\right)}{- 7 - 5}$

Simplify.

$m = \frac{- 4 + 8}{- 12}$

Simplify.

$m = \frac{4}{- 12}$

Simplify.

$m = - \frac{4}{12}$

Simplify.

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