# How do you calculate the slope of (-1.-1) and (4,-6)?

Jul 17, 2015

Use the standard formula for slope to find $m = - 1$.

#### Explanation:

The slope $m$ of a line passing through points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is given by the formula:

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

Let $\left({x}_{1} , {y}_{1}\right) = \left(- 1 , - 1\right)$ and $\left({x}_{2} , {y}_{2}\right) = \left(4 , - 6\right)$

Then

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