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: 103

Answer

parallel

Work Step by Step

If two non-vertical and non-horizontal lines are parallel, then their slopes are equal. If two non-vertical and non-horizontal lines are perpendicular, the product of their slopes is $-1$. Here, for the first line: $y=2x-3$ The slope $m$, in this form of the equation, is equal to the coefficient of $x$. Hence, its slope is $2$. For the second line: $y=2x+4$ The slope of this line is also $2$. Since the slopes are equal, then the two lines are parallel.
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