How do you write the equation in point slope form given m=3 and point (6,-2)?

Jan 8, 2017

Use the point-slope formula. See below for full explanation.

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 point and the slope given in the problem results in:

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

$\left(y + \textcolor{red}{2}\right) = \textcolor{b l u e}{3} \left(x - \textcolor{red}{6}\right)$