Question

How do you write an equation in slope intercept form given (-4,3) m=-3?

Answer 1

To write the equation in slope-intercept form, let's use the formula for a slope-intercept form equation.

Explanation:

The equation is:

`y=mx+b`

`-4` is our x-variable, `3` is our y-variable, and we already have `m`, so we have to solve for `b`. Let's substitute the variables for our numbers:

`3=3(-4)+b`

From here, we just solve for `b`:

`3=-12+b`
`3+12=-12+b+12`
`15=b`

Next, we write `y=mx+b` again, but we only substitute `m` and `b` for our numbers, as were trying to create an equation which can have an infinite amount of solutions. Our equation (and final answer) will look like this:

`y=3x+15`