How do you find the slope given #4x - 3y = 3#?

1 Answer
Bill K.
Jul 31, 2015

The slope of the line defined by this equation is #4/3#

Explanation:

Find the slope by doing algebra operations to solve the linear equation #4x-3y=3# for #y# as a function of #x#. This will put the equation of the line in slope-intercept form, and the slope will be the coefficient of #x#:

#4x-3y=3\Rightarrow 4x-3=3y\Rightarrow y=(4x-3)/3=4/3 x-1#

The slope is #4/3#.

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