Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 3 - Introduction to Graphing - 3.3 Graphing and Intercepts - 3.3 Exercise Set: 94

Answer

$y=5$

Work Step by Step

RECALL: (1) For the point $(x, y)$, the y-coordinate represents the distance of the point from the x-axis. (2) The equation of a horizontal line is $y=k$ where $k$ is a real number. The x-axis is a horizontal line. Thus, a line parallel to the x-axis is also a horizontal line, which means that all points on the line have the same y-coordinate. The line passes through the point $(3, 5)$. The y-coordinate of this point is $5$. Thus, the equation of the line parallel to the x-axis that passes through the point $(3, 5)$ is $y=5$.
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