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.2 Assess Your Understanding - Page 33: 138

Answer

The two lines are the same.

Work Step by Step

Recall: The slope-intercept form of a line's equation is $y=mx+b$ where $m$ is the slope and $b$ is the $y$-intercpt. This means that if two lines have the same (equal) slope and the same (equal) $y$-intercepts, then their equations will be the same. Hence, if two lines have equal slopes and equal $y$-intercepts, then they must be the same line.
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