Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 3 - Section 3.1 - Graphing Linear Equations in Two Variables - Concept and Vocabulary Check - Page 220: 8

Answer

$mx+b$ (see Note below)

Work Step by Step

A linear equation is caller linear because its graph is a line. Any equation of the form $y=mx+b$ is linear because its graph is a line. We will write $mx+b$ as the answer to this question, BUT: Note: There is a certain problem with the wording of this question. Take the equation $x=4$. Its graph is a (vertical) line, and CAN NOT be written in the form $y=mx+b$. So, $y=mx+b$ does not cover all linear equations. The answer we should write is " we can not make the statement true", because it should be true for "a linear equation", that is, for "all linear equations."
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