# What is the slope of the line passing through the following points:  (2,-6) ; (-6,-1)?

Jun 22, 2018

$- \frac{5}{4}$

#### Explanation:

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{- 1 - \left(- 6\right)}{- 6 - \left(- 2\right)} = - \frac{5}{4}$

Aug 10, 2018

The slope is $- \frac{5}{8}$.

#### Explanation:

Use the slope equation:

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

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.

I'm going to make $\left(2 , - 6\right)$ the first point, and $\left(- 6 , - 1\right)$ the second point. You can do the opposite and you will get the same slope.

$m = \frac{- 1 - \left(- 6\right)}{- 6 - 2}$

$m = \frac{- 1 + 6}{- 8}$

$m = \frac{5}{- 8}$

$m = - \frac{5}{8}$