# What is the slope of the line passing through the following points: (-2, -4) , (4,-1) ?

Dec 8, 2015

The slope, $m$, is $\frac{1}{2}$.

#### Explanation:

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

Point 1:$\left(- 2 , - 4\right)$
Point 2:$\left(4 , - 1\right)$

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

Substitute the known values into the equation.

$m = \frac{- 1 - \left(- 4\right)}{4 - \left(- 2\right)}$

Simplify.

$m = \frac{- 1 + 4}{4 + 2}$

Simplify.

$m = \frac{3}{6}$

Simplify.

$m = \frac{1}{2}$