# How do you write an equation of a line given (8, 13), m=-9?

Mar 21, 2017

See the entire solution process below:

#### Explanation:

We can use the point-slope formula to write and equation for the line described by the information in the problem:

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:

$\left(y - \textcolor{red}{13}\right) = \textcolor{b l u e}{- 9} \left(x - \textcolor{red}{8}\right)$