# How do you write the equation in point slope form given m=6 and point (4,-5)?

Jan 9, 2017

$\left(y + 5\right) = 6 \left(x - 4\right)$

#### 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 point and slope given in the problem results in the equation:

$\left(y - \textcolor{red}{- 5}\right) = \textcolor{b l u e}{6} \left(x - \textcolor{red}{4}\right)$

$\left(y + \textcolor{red}{5}\right) = \textcolor{b l u e}{6} \left(x - \textcolor{red}{4}\right)$