Thinking Mathematically (6th Edition)

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

Chapter 6 - Algebra: Equations and Inequalities - 6.3 Applications of Linear Equations - Exercise Set 6.3 - Page 375: 51

Answer

\[\frac{y-b}{x}\].

Work Step by Step

Consider the formula: \[y=mx+b\]. It is straight line formula for variable m. Now subtract both side by b. \[\begin{align} & y-b=mx+b-b \\ & y-b=mx \\ & \frac{y-b}{x}=m \\ & m=\frac{y-b}{x} \end{align}\] Thus, the variable m is\[\frac{y-b}{x}\].
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