Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.2 Linear Functions and Their Graphs - Exercise Set 7.2 - Page 432: 78

Answer

The equation $y=mx+b$ has a slope of $m$ and a y-intercept of $b$, where $b$ can be any real number.

Work Step by Step

RECALL: The equation $y=mx+b$ has a slope of $m$ and a y-intercept of $b$. The value of $b$ has no restrictions, so $b$ can actually be equal to the slope $m$. Thus, the given statement is false A corrected statement is: The equation $y=mx+b$ has a slope of $m$ and a y-intercept of $b$, where $b$ can be any real number.
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