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.