# How do you write the equation in point slope form given slope = 1/8, passes through (5,9)?

Jun 14, 2018

See a solution process below:

#### Explanation:

The point-slope form of a linear equation is: $\left(y - \textcolor{b l u e}{{y}_{1}}\right) = \textcolor{red}{m} \left(x - \textcolor{b l u e}{{x}_{1}}\right)$

Where $\left(\textcolor{b l u e}{{x}_{1}} , \textcolor{b l u e}{{y}_{1}}\right)$ is a point on the line and $\textcolor{red}{m}$ is the slope.

Substituting the values from the problem for the slope and the values of the point gives:

$\left(y - \textcolor{b l u e}{9}\right) = \textcolor{red}{\frac{1}{8}} \left(x - \textcolor{b l u e}{5}\right)$