# How do you find the slope given (4,2) and (9,-4)?

Jan 21, 2017

See the solution process below:

#### Explanation:

The slope can be found by using the formula: $m = \frac{\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}}{\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}}$

Where $m$ is the slope and ($\textcolor{b l u e}{{x}_{1} , {y}_{1}}$) and ($\textcolor{red}{{x}_{2} , {y}_{2}}$) are the two points on the line.

Substituting the values from the two points in the problem gives:

$m = \frac{\textcolor{red}{- 4} - \textcolor{b l u e}{2}}{\textcolor{red}{9} - \textcolor{b l u e}{4}}$

$m = - \frac{6}{5}$

The slope is $- \frac{6}{5}$