How do you write the equation in point slope form given (5,-2) and m=2?

Feb 4, 2017

$\left(y + \textcolor{red}{2}\right) = \textcolor{b l u e}{2} \left(x - \textcolor{red}{5}\right)$

Explanation:

The point-slope formula states: $\left(y - \textcolor{red}{{y}_{1}}\right) = \textcolor{b l u e}{m} \left(x - \textcolor{red}{{x}_{1}}\right)$

Where $\textcolor{b l u e}{m}$ is the slope and $\textcolor{red}{\left(\left({x}_{1} , {y}_{1}\right)\right)}$ is a point the line passes through.

Substituting the values from the problem gives:

$\left(y - \textcolor{red}{- 2}\right) = \textcolor{b l u e}{2} \left(x - \textcolor{red}{5}\right)$

$\left(y + \textcolor{red}{2}\right) = \textcolor{b l u e}{2} \left(x - \textcolor{red}{5}\right)$