# How do you determine the slope of the line passing through (-1,6) and (2,-3)?

Use the basic definition of the slope between two points to determine that the slope is $\left(- 3\right)$.
If $\left({x}_{1} , {y}_{1}\right) = \left(- 1 , 6\right)$ and $\left({x}_{2} , {y}_{2}\right) = \left(2 , - 3\right)$
$\textcolor{w h i t e}{\text{XXXX}}$$\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$
$\textcolor{w h i t e}{\text{XXXX}}$$= \frac{- 3 - 6}{2 - \left(- 1\right)} = \frac{- 9}{3} = - 3$