# How do you find the slope given (-4,2) and (1,-3)?

Mar 2, 2018

$m = - 1$

#### Explanation:

The equation for slope is rise over run; that means

$\text{slope} = m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$ (in fraction form)

So, when given any two points, to calculate the slope you simply subtract the respective $x$ and $y$ coordinates. In this case, you do

$m = \frac{\left(- 3\right) - 2}{1 - \left(- 4\right)}$

Simplify it into:

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

Finally, simplify it once more into $- 1$. Your slope, also referred to as $m$, is $- 1$.