# What is Slope?

Jun 8, 2018

Slope is the change in the y values divided by the change in the x values

#### Explanation:

$\text{slope"="rate of change in y"/"rate of change in x" ="rise"/"run}$

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

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

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

Is is often expressed as rise over run.