What is the slope intercept form of the line passing through #(4,-8) # with a slope of #5/4 #?

1 Answer
Feb 22, 2016

So we know that the slope is #5/4#

We can plug that into the equation #y = mx+b# because the m represents the slope

So now we have #y = 5/4x + b#

We also know one coordinate, and that is all that we need.

Plug that coordinate into the equation and we are now solving for one variable, #b#

So, we have #-8 = 5/4(4)+b# by plugging in the coordinate pair

Then we have #-8 = 5+b#
Move the #5# over and we have #b = -13#

Thus, our equation is #y = 5/4x - 13#

And we are done.