# How do you write the point slope form of the equation given m=0 and (3,7)?

May 3, 2017

See the solution process below:

#### 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 slope and values from the point in the problem gives:

$\left(y - \textcolor{red}{7}\right) = \textcolor{b l u e}{0} \left(x - \textcolor{red}{3}\right)$

Because the slope is $0$ we know this is a horizontal line and would have a simplified equation of:

$y = 7$