# How do you write an equation in point slope and slope intercept form given point (3,2) and has a slope of -2?

Feb 1, 2017

Point Slope Form: $y - 2 = - 2 \left(x - 3\right)$
Slope Intercept Form: $y = - 2 x + 8$

#### Explanation:

The point-slope form formula is

$y - {y}_{1} = \text{slope} \cdot \left(x - {x}_{1}\right)$.

Here ${x}_{1}$ $\left(3\right)$ and ${y}_{1}$ $\left(2\right)$ are the coordinate points from your ordered pair $\left(3 , 2\right)$.

Plug in those values, along with the slope, and you have an equation in point-slope form. Looking at this equation, you are able to distribute the $- 2$ (slope) to the values inside the parenthesis, and you can also isolate the $y$ by adding the $2$ from the "y" side to the other side.

You'll end up with

$y = - 2 x + 8$

which is written in slope intercept form

$y = m x + b$

Here $m$ stands for slope and $b$ stands for the $y$-intercept.