# What is the slope of the line passing through the following points:  (-3,2) , (-6,4)?

Mar 31, 2018

Slope$= m = - \frac{2}{3}$

#### Explanation:

Use the slope formula:

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

Given $\left(- 3 , 2\right)$ and $\left(- 6 , 4\right)$

Let

$\left(\textcolor{red}{- 3} , \textcolor{b l u e}{2}\right) \to \left(\textcolor{red}{{x}_{1}} , \textcolor{b l u e}{{y}_{1}}\right)$

$\left(\textcolor{red}{- 6 , \textcolor{b l u e}{4}}\right) \to \left(\textcolor{red}{{x}_{2}} , \textcolor{b l u e}{{y}_{2}}\right)$

Substituting in for the slope formula...

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