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: 64



Work Step by Step

If a line is parallel to another they have the same slope. For a horizontal line, the equation comes in the form of $y=a$, where $a$ is a constant. The line is said to be parallel to,$y=5$, which is a vertical line. A line that is parallel to a vertical line is also vertical. The vertical line we are looking for contains the point $(4, 2)$ whose $y$-coordinate is $2$. This means that the equation of the line must be $y=2$.
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