# How do you write the equation in point slope form given (-2, 11), m=4/3?

May 25, 2017

$y + 2 = \frac{3}{4} \left(x - 11\right)$

#### Explanation:

Point slope form is given by the following formula:
$y - {y}_{1} = m \left(x - {x}_{1}\right)$

In order to use the point slope formula we need two things:
1. The slope or $\textcolor{g r e e n}{m}$ which in this case is $\textcolor{g r e e n}{\frac{4}{3}}$
2. A point on the graph which we are given $\left(- 2 , 11\right)$

Along with the slope, if we let $\left(\textcolor{red}{- 2} , \textcolor{b l u e}{11}\right) \to \left(\textcolor{red}{{x}_{1}} , \textcolor{b l u e}{{y}_{1}}\right)$ we can substitute all this information into the point-slope formula:

$y - \textcolor{red}{- 2} = \textcolor{g r e e n}{\frac{3}{4}} \left(x - \textcolor{b l u e}{11}\right)$

Simplify:

$y + \textcolor{red}{2} = \textcolor{g r e e n}{\frac{3}{4}} \left(x - \textcolor{b l u e}{11}\right)$