How do you write the equation in slope intercept form given #3x - 2y = -6#?

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Answer 1 · 2018-05-10T14:57:23

#y=3/2x+3#

The slope intercept form of a line is given as:

#y=mx+b#

Where:

#bbm# is the gradient and #bb(b)# is the y axis intercept.

Our task is to rearrange our function so it is in the same form.

#3x-2y=-6#

Subtract #3x# from both sides:

#3x-3x-2y=-6-3x#

#-2y=-6-3x#

Divide both sides by #-2#

#(-2y)/(-2)=(-6)/(-2) \ \ (-3x)/(-2)#

#y=3+3/2x#

#y=3/2x+3#