How do you find the slope and y intercept for #4x - 3y = 27#?

2 Answers
May 29, 2015

If we can express #4x-3y=27#
in the slope-intercept form: #y = mx+b#
we will be able to read the slope and y-intercept directly from the equation.

#4x-3y=27#

#rarr -3y = -4x+27#

#rarr y = (4/3)x + (-9)#

The slope is #(4/3)#
and the y-intercept is #(-9)#

May 29, 2015

I would write it in Slope-Intercept form to "read" these information directly.

To do that simply isolate #y# on one side as:

#y=4/3x-9#

So:
Slope=#4/3#
y-intercept=#-9#