How do you write the equation in point slope form given Point: (-2, 4); Slope: 5?

May 11, 2016

$\left(y - 4\right) = 5 \left(x + 2\right)$

Explanation:

For a line with slope $\textcolor{g r e e n}{m}$ through the point $\left(x , y\right) = \left(\textcolor{red}{a} , \textcolor{b l u e}{b}\right)$
the general slope-point form is
$\textcolor{w h i t e}{\text{XXX}} \left(y - \textcolor{b l u e}{b}\right) = \textcolor{g r e e n}{m} \left(x - \textcolor{red}{a}\right)$

Substitute
$\textcolor{w h i t e}{\text{XXX}} 5$ for $\textcolor{g r e e n}{m}$
$\textcolor{w h i t e}{\text{XXX}} \left(- 2\right)$ for $\textcolor{red}{a}$
and
$\textcolor{w h i t e}{\text{XXX}} 4$ for $\textcolor{b l u e}{b}$