In this section we state that two lines, neither of which is vertical, are perpendicular if and
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In this section we state that two lines, neither of which is vertical, are perpendicular if and only if their slopes have a product of -1. we outline a partial proof of this for the case where the two lines intersect at the origin.
By the converse of the Pythagorean theorem, if
then triangle POQ is a right triangle with right angle at O.
Use the property that if ab = 0 then a = 0 or b = 0 to solve the equation in Exercise 83, showing that m1m2 = -1.
Exercise 83
-2m1m2x1x2 - 2x1x2 = 0.
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Related Book For
College Algebra
ISBN: 978-0134697024
12th edition
Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
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