# How do you find the slope for (5,-2) & (-3,2)?

The slope between the points $\left(5 , - 2\right)$ and $\left(- 3 , 2\right)$ is $\left(- \frac{1}{2}\right)$
Given two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$, the slope is defined as
$\textcolor{w h i t e}{\text{XXX}} m = \frac{\Delta y}{\Delta x} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$
$\textcolor{w h i t e}{\text{XXX}} m = \frac{2 - \left(- 2\right)}{- 3 - 5} = \frac{4}{- 8} = - \frac{1}{2}$