# What is the slope of the line passing through (1,-1); (-2,0)?

Slope: $\left(- \frac{1}{3}\right)$
For two general points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} - {y}_{2}\right)$, the slope $m$ is
$\textcolor{w h i t e}{\text{XXX}} m = \frac{\Delta y}{\Delta x} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$
Given the specific points $\left(1 , - 1\right)$ and $\left(- 2 , 0\right)$, this becomes
$\textcolor{w h i t e}{\text{XXX}} m = \frac{0 - \left(- 1\right)}{- 2 - 1} = \frac{1}{- 3} = - \frac{1}{3}$