Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.2 - Introduction to Functions - Vocabulary, Readiness & Video Check - Page 139: 10

Answer

Yes, all linear equations in two variables in the form $y=mx+b$ where $m\ne0$ define functions. $\\$ Please refer to the step by step part for the explanation.

Work Step by Step

The graphs of linear equations of the form $y=mx+b$ where $m\ne0$ are diagonal lines. $\\\\$When the vertical line test is performed, all vertical lines will pass through at most one point on the graph of linear equations in two variables. $\\\\$Therefore, all linear equations in two variables define functions.
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