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: 37

Answer

$m=-\frac{22}{455}$

Work Step by Step

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 given coordinate pairs: $m=\frac{3-5.2}{3.25-(-42.25)}$ We simplify above and below the fraction bar with subtraction: $m=\frac{-2.2}{45.5}$ We write this as a fraction of whole numbers by multiplying by $\frac{10}{10}$: $m=-\frac{22}{455}$
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