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: 63



Work Step by Step

For a vertical line, the slope is undefined and the line's equation comes in the form $x=a$, where $a$ is a constant. The line $x=5$ is vertical. Lines that are parallel to a vertical line are also vertical lines. Since the line parallel to $x=5$ contains the point $(4, 2)$ whose $x$-coordinate is $4$, then the equation of the line must be $x=4$.
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