# How do you find the slope of the line that passes through the points (6, -8) and (-3, 4)?

Mar 28, 2018

See below.

#### Explanation:

To find the slope of a line, with two existing points, all we have to do is use the formula:

$\frac{\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}}{\textcolor{g r e e n}{{x}_{2}} - \textcolor{\mathmr{and} a n \ge}{{x}_{1}}}$

Because we were given two points, here are the respective values:

$\textcolor{red}{{y}_{2}} = 4$
$\textcolor{b l u e}{{y}_{1}} = - 8$
$\textcolor{g r e e n}{{x}_{2}} = - 3$
$\textcolor{\mathmr{and} a n \ge}{{x}_{1}} = 6$

Now, we simply plug in our values and solve:

$\frac{\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}}{\textcolor{g r e e n}{{x}_{2}} - \textcolor{\mathmr{and} a n \ge}{{x}_{1}}} \implies \frac{\textcolor{red}{4} - \textcolor{b l u e}{\left(- 8\right)}}{\textcolor{g r e e n}{- 3} - \textcolor{\mathmr{and} a n \ge}{6}}$

$= \frac{12}{-} 9$

$= - \frac{4}{3}$