# How do you write the equation in point slope form given m=-4 and point (2,7)?

Jan 10, 2017

$\left(y - \textcolor{red}{7}\right) = \textcolor{b l u e}{- 4} \left(x - \textcolor{red}{2}\right)$

#### Explanation:

Given the slope and a point on the line we can use the point-slope formula to write the equation for the line having these attributes.

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 from the problem gives the equation of the line as:

$\left(y - \textcolor{red}{7}\right) = \textcolor{b l u e}{- 4} \left(x - \textcolor{red}{2}\right)$