# What is the equation in point-slope form and slope intercept form of the line given slope 2/3, (5,6)?

Jun 8, 2018

$\left(y - \textcolor{red}{6}\right) = \textcolor{g r e e n}{\frac{2}{3}} \left(x - \textcolor{b l u e}{5}\right)$

#### Explanation:

Point Slope form of a line:

$\left(\textcolor{b l u e}{{x}_{1}} , \textcolor{red}{{y}_{1}}\right) = \left(\textcolor{b l u e}{5} , \textcolor{red}{6}\right)$

$\textcolor{g r e e n}{m = \frac{2}{3}}$

$\left(y - \textcolor{red}{{y}_{1}}\right) = \textcolor{g r e e n}{m} \left(x - \textcolor{b l u e}{{x}_{1}}\right)$

$\left(y - \textcolor{red}{6}\right) = \textcolor{g r e e n}{\frac{2}{3}} \left(x - \textcolor{b l u e}{5}\right)$