How do you find the slope given #-2x-3y = -2#?

1 Answer
Meave60
Jul 12, 2016

The slope is #-2/3#.

Explanation:

#-2x-3y=-2# is written in the standard form for a linear equation, which is #"A"x+"B"y"=""C"#. To find the slope, convert the standard form to the slope-intercept form by solving the standard form for #y#. The slope-intercept form is #y=mx+b#, where #m# is the slope.

Solving for #y#.

#-2x-3y=-2#

Add #2x# to both sides of the equation.

#-3y=2x-2#

Divide both sides by #-3#.

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

The slope is #-2/3#.

graph{y = -2/3x+2/3 [-10, 10, -5, 5]}

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