# How do you the slope of the line that contains (5,8) and (10,12)?

Slope: $\frac{4}{5}$
The slope of the line between two points $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$ is given by the formula
$\textcolor{w h i t e}{\text{XXX}} m = \frac{\Delta y}{\Delta x} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$
$\textcolor{w h i t e}{\text{XXX}} m = \frac{12 - 8}{10 - 5} = \frac{4}{5}$