Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 5 - Linear Functions - 5-1 Rate of Change and Slope - Practice and Problem-Solving Exercises - Page 297: 27

Answer

Positive, $m=9$

Work Step by Step

The slope is positive because the more hours she works, the more she gets paid. To find the slope, we use the formula $m=\frac{y_2-y_1}{x_2-x_1}$. We plug in the $x$ and $y$ values from the figures stated in the problem: $m=\frac{36-9}{4-1}$ We simplify above and below the fraction bar with subtraction: $m=\frac{27}{3}$ We divide the fraction: $m=9$
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