How do you find the slope for 2x + 3y = 12?

1 Answer
Meave60
Sep 11, 2015

The slope is #-2/3#.
Convert the given equation to the slope-intercept form by solving for #y#.

Explanation:

#2x+3y=12# is the standard form for a linear equation. To determine the slope, solve the equation for #y# in order to convert to the slope-intercept form #y=mx+b#, where #m# is the slope and #b# is the y-intercept.

#2x+3y=12#

Subtract #2x# from both sides.

#3y=-2x+12#

Divide both sides by #3#.

#y=-2/3x+12/3##=#

#y=-2/3x+4#

The slope is #-2/3#

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