Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.8 - Substituting Data into Formulas - Exercises - Page 258: 8

Answer

$$ \frac{y-b}{x}, \ \ -2$$

Work Step by Step

To solve the given equation for $m$, we move out the term $b$ and then divide both sides by $x$ as follows $$ y=mx+b\Longrightarrow mx=y-b \Longrightarrow m=\frac{y-b}{x} .$$ Now, by substitution, we have $$ m=\frac{y-b}{x}=\frac{2-9}{3}=-2.33\approx -2 .$$
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