How do you find the slope-intercept of #y - 6 = - 4x#?

1 Answer
May 24, 2018

Answer:

Problem: #y-6=-4x#

graph{y=-4x -6 [-9.83, 10.17, -7.92, 2.08]}

Answer: #y=-4x+6#

Explanation:

#y = mx + b#

So, what you have is #y-6 =-4x#, but to make it in slope-intercept form, it needs to look like #y = mx + b#. #b# is where the line intercepts #y#, and #m# is what the angle is.

#y-6=-4c#

Slope-intercept form is where you have #y# on one side and #mx+b# on the other side of the equation (on either side of the equal sign).
So to get #y# on one sode of the equation alone, you need to get rid of #-6#. To do so, you add #+6# to each side of the equation and you have #y=-4x+6#.