# A line has a slope of 2 and goes through the point (1, 9). What is the equation for this line in point slope form?

Mar 24, 2017

See the entire 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 given in the equation allows us to write the equation as:

$\left(y - \textcolor{red}{9}\right) = \textcolor{b l u e}{2} \left(x - \textcolor{red}{1}\right)$