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

Oct 11, 2016

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

#### Explanation:

The equation is:

$y = m x + b$

$- 4$ 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:

$3 = 3 \left(- 4\right) + b$

From here, we just solve for $b$:

$3 = - 12 + b$
$3 + 12 = - 12 + b + 12$
$15 = b$

Next, we write $y = m x + b$ 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:

$y = 3 x + 15$