Question

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

Answer 1

Point Slope Form: `y-2=-2(x-3)`
Slope Intercept Form: `y=-2x+8`

Explanation:

The point-slope form formula is

`y-y_1 = "slope" * (x-x_1)`.

Here `x_1` `(3)` and `y_1` `(2)` are the coordinate points from your ordered pair `(3, 2)`.

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=-2x+8`

which is written in slope intercept form

`y=mx+b`

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