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 31: 102

Answer

$x=0$

Work Step by Step

The $y$-axis is a vertical line and therefore should have an equation with a form of $x=a$, where $a$ is a constant and is actually the $x$-coordinate of all the points on the line. The origin $(0,0)$ is on the line, therefore here the $x$-coordinate equals to $0$. As the origin is on the line, if we plug in $x=0$ this should satisfy the equation. Therefore the equation itself is $x=0$.
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