# What is the slope of the line passing through the following points: (-2, -1), (4, 0) ?

Feb 13, 2016

The slope is $\frac{1}{6}$.

#### Explanation:

The slope equation is $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$ with the line going
through the two points of $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$.

To find the slope while given two points, just plug in the values.

With the points, $\left(- 2 , - 1\right)$ and $\left(4 , 0\right)$, the slope would be

$\frac{0 - \left(- 1\right)}{4 - \left(- 2\right)}$.

Simplify and because subtracting a negative number is like adding the positive of that number, it can also be written as

$\frac{0 + 1}{4 + 2}$

Add the terms of the numerator and add the terms of the denominator.

$\frac{1}{6}$ is the slope of the line.