# How do you write the equation in point slope form given (5,3) with slope = 2?

$y - 3 = 2 \left(x - 5\right)$
The general slope-point form for a line through the point $\left(\textcolor{red}{\overline{x}} , \textcolor{red}{\overline{y}}\right)$ with slope of color(blue)(m is
$\textcolor{w h i t e}{\text{XXX}} y - \textcolor{red}{\overline{y}} = \textcolor{b l u e}{m} \left(x - \textcolor{red}{\overline{x}}\right)$
Using the given values of $\left(\textcolor{red}{x} , \textcolor{red}{y}\right) = \left(\textcolor{red}{5} , \textcolor{red}{3}\right)$ and $\textcolor{b l u e}{m} = \textcolor{b l u e}{2}$
$\textcolor{w h i t e}{\text{XXX}} y - \textcolor{red}{3} = \textcolor{b l u e}{2} \left(x - \textcolor{red}{5}\right)$