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

1 Answer
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=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#