# What is the slope of the line passing through (1,-1); (-2,-6)?

Jun 7, 2018

$m = - \frac{5}{3}$

#### Explanation:

determine the slope:

$\left(\textcolor{b l u e}{{x}_{1}} , \textcolor{b l u e}{{y}_{1}}\right) = \left(1 , - 1\right)$

$\left(\textcolor{red}{{x}_{2}} , \textcolor{red}{{y}_{2}}\right) = \left(- 2 , - 6\right)$

$\textcolor{g r e e n}{m} = \frac{\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}}{\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}}$

$\textcolor{g r e e n}{m} = \frac{\textcolor{red}{- 6} - \textcolor{b l u e}{\left(- 1\right)}}{\textcolor{red}{- 2} - \textcolor{b l u e}{1}} = - \frac{5}{3}$