# How do you find the slope for (1, 3) and (-3, 5)?

##### 1 Answer
Sep 11, 2015

Slope between $\left(1 , 3\right)$ and $\left(- 3 , 5\right)$ is $- \frac{1}{2}$

#### Explanation:

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

For the given points this becomes
$\textcolor{w h i t e}{\text{XXX}} m = \frac{5 - 3}{\left(- 3\right) - 1} = \frac{2}{- 4} = - \frac{1}{2}$