how do i find the slope of the line parallel to the graph of 3x-4y=12?

i have tried to understand this countless times but i still dont get it
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how do i find the slope of the line parallel to the graph of 3x-4y=12?

The slope of parallel lines is the same. So, manipulate the given
equation into slope/intercept form and you will have the slope of
any parallel line.

3x-4y=12
-4y = -3x + 12
y = (-3x + 12) / -4
y = 3/4 x - 3

The slope of this line is 3/4, and that is also
the slope of any line parallel to it.
by Level 11 User (78.4k points)

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