The slope of a line that is perpendicular to line m is -q/p
Line m has a y-intercept of c and a slope of p/q, where p > 0, q > 0, and p ≠ q.
What is the slope of a line that is perpendicular to line m?
The slope of line m is given as:
m = p/q
Let the slope of the other line be n.
Since both lines are perpendicular, we have:
n = -1/m
Substitute m = p/q
n = -1/(p/q)
Evaluate
n = -q/p
Hence, the slope of a line that is perpendicular to line m is -q/p
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