How do you find the slope and intercept of #3x-2y= -6#?

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Answer 1 · 2016-07-07T20:41:22

The slope is #3/2# the intercept is #3#.

To find the slope and the intercept you have to put the equation in the form #y=mx+q#, then #m# is the slope and #q# is the intercept.

The first step is to keep the term with the #y# on the left and the others on the right

#3x-2y=-6#

#-2y=-3x-6#

and now we divide for the coefficient of #y# that is #-2#

#y=3/2x+6/2#

#y=3/2x+3#

The slope is #3/2# the intercept is #3#.