# How do you find the slope given (0, -4) and (-6, 7)?

Aug 7, 2017

$m = \frac{11}{- 6}$

#### Explanation:

If you are given two points, $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$, the slope, $m$ is defined to be:

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

In this case, the slope, $m$ is:

$m = \frac{7 - \left(- 4\right)}{\left(- 6\right) - 0}$

$m = \frac{11}{- 6}$