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 - Page 30: 70

Answer

$x=3$

Work Step by Step

A horizontal line has an equation in the form $y=a$, where $a$ is a constant. Thus, the line $y=8$ is horizontal. Recall that a line perpendicular to a horizontal line is a vertical line. A vertical line has an equation of the form $x=a$ where $a$ is a constant. Since the line we are looking for is perpendicular to $y=8$ (which is a horizontal line), then the line must be horizontal. The line contains $(3, 4)$, whose $x$-coordinate is $3$, so the line's equation must be $x=3$.
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