# How do you find the slope of the line passing through the points (-2,5), (6,-3)?

Apr 4, 2018

The slope is $- 1$.
Here's how I did it:

#### Explanation:

To find the slope of something, we do $\frac{\triangle y}{\triangle x}$, or change in y over change in x, or $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$.

In your question, you have two points on the line, $\left(- 2 , 5\right)$ and $\left(6 , - 3\right)$. So we can plug them into the equation above and solve for the slope.

(below, m means slope)
$m = \frac{- 3 - 5}{6 - \left(- 2\right)}$

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

$m = - 1$

The slope is $- 1$.

Hope this helps!