# What is the slope of the line passing through the following points:  (2,3) , (-2,-1)?

Jun 30, 2016

$\textcolor{\mathmr{and} a n \ge}{- 1}$

#### Explanation:

$\textcolor{\mathmr{and} a n \ge}{S l o p e}$ = $\frac{{Y}_{2} - {Y}_{1}}{{X}_{2} - {X}_{1}}$

Color Code:

${\textcolor{red}{Y}}_{\textcolor{red}{2}}$
${\textcolor{b l u e}{Y}}_{\textcolor{b l u e}{1}}$
${\textcolor{g r e e n}{X}}_{\textcolor{g r e e n}{2}}$
${\textcolor{y e l l o w}{X}}_{\textcolor{y e l l o w}{1}}$

$\left(\textcolor{y e l l o w}{2} , \textcolor{b l u e}{3}\right)$ , $\left(\textcolor{g r e e n}{-} \textcolor{g r e e n}{2} , \textcolor{red}{-} \textcolor{red}{1}\right)$

Now plug corresponding values into the formula at the top of the explanation:

$\frac{\textcolor{red}{-} \textcolor{red}{1} - \textcolor{b l u e}{3}}{\textcolor{g r e e n}{-} \textcolor{g r e e n}{2} - \textcolor{y e l l o w}{2}}$

You get:

$\frac{\textcolor{\mathmr{and} a n \ge}{- 4}}{\textcolor{\mathmr{and} a n \ge}{- 4}}$

Also written as:

$\textcolor{\mathmr{and} a n \ge}{1}$