Mark M. answered 10/30/18
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Retired math prof. Very extensive Precalculus tutoring experience.
If cx + dy - b = 3, then dy = -cx + b + 3
So, y = (-c/d)x + (b/d) + 3/d (This line has slope -c/d.)
Slope of perpendicular line = -1 / (-c/d) = d/c