# How do you write the point slope form of the equation given m=-3/2 and (2,-3)?

May 1, 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 points in the problem gives:

$\left(y - \textcolor{red}{- 3}\right) = \textcolor{b l u e}{- \frac{3}{2}} \left(x - \textcolor{red}{2}\right)$

$\left(y + \textcolor{red}{3}\right) = \textcolor{b l u e}{- \frac{3}{2}} \left(x - \textcolor{red}{2}\right)$