Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter F - Foundations: A Prelude to Functions - Section F.3 Lines - F.3 Assess Your Understanding: 9

Answer

$...\text{ are perpendicular if } a = -\frac{1}{2}$.

Work Step by Step

RECALL: (i) Non-vertical lines are parallel if they have equal slopes. (ii) Non-vertical and non-horizontal lines are perpendicular if their slopes have a product of −1 Thus, for the given lines to be perpendicular, the product of their slopes must be $-1$, For this to happen, the value of $a$ must be $-\frac{1}{2}$.
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