# How do you find the slope of the line passing through the points (3, -4) and (5, 2)?

Apr 25, 2018

Slope$= m = 3$

#### Explanation:

Use the slope formula:

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

Given $\left(3 , - 4\right)$ and $\left(5 , 2\right)$

Let:

$\left(\textcolor{red}{3} , \textcolor{b l u e}{- 4}\right) \to \left(\textcolor{red}{{x}_{1}} , \textcolor{b l u e}{{y}_{1}}\right)$

$\left(\textcolor{red}{5} , \textcolor{b l u e}{2}\right) \to \left(\textcolor{red}{{x}_{2}} , \textcolor{b l u e}{{y}_{2}}\right)$

Substituting in for the slope formula...

$m = \frac{\textcolor{b l u e}{2 - \left(- 4\right)}}{\textcolor{red}{5 - 3}} = \frac{\textcolor{b l u e}{6}}{\textcolor{red}{2}} = 3 \leftarrow s l o p e$