# Question #289d4

Oct 25, 2015

The slope, $m$, is $- \frac{13}{3}$.

#### Explanation:

To calculate the slope using two points on a line, use the following equation $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$, where $m$ is the slope, $\left({x}_{1} , {y}_{1}\right)$ is one point, and $\left({x}_{2} , {y}_{2}\right)$ is the second point.

Point 1: $\left(\textcolor{red}{6 , 8}\right) :$
$\textcolor{red}{{x}_{1}} = \textcolor{red}{6} ,$
$\textcolor{red}{{y}_{1}} = \textcolor{red}{8}$.

Point 2: $\left(\textcolor{g r e e n}{9 , - 5}\right) :$
$\textcolor{g r e e n}{{x}_{2}} = \textcolor{g r e e n}{9} ,$
$\textcolor{g r e e n}{{y}_{2}} = \textcolor{g r e e n}{- 5}$

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} =$

$m = \frac{- \textcolor{g r e e n}{5} - \textcolor{red}{8}}{\left(\textcolor{g r e e n}{9} - \textcolor{red}{6}\right)} = - \frac{13}{3}$