# How do you find the slope given (-5, -3) and (1, 4)?

Mar 7, 2017

$\text{slope } = \frac{7}{6}$

#### Explanation:

Find the slope using the $\textcolor{b l u e}{\text{gradient formula}}$

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where m represents the slope and $\left({x}_{1} , {y}_{1}\right) , \left({x}_{2} , {y}_{2}\right) \text{ 2 coordinate points}$

The 2 points here are (-5 ,-3) and (1 ,4)

let $\left({x}_{1} , {y}_{1}\right) = \left(- 5 , - 3\right) \text{ and } \left({x}_{2} , {y}_{2}\right) = \left(1 , 4\right)$

$\Rightarrow m = \frac{4 - \left(- 3\right)}{1 - \left(- 5\right)} = \frac{7}{6}$