Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 9 - Sequences and Series - 9-1 Mathematical Patterns - Practice and Problem-Solving Exercises - Page 571: 79

Answer

slope: $m = -1$

Work Step by Step

The formula to find the slope of two points on a line is: $m = \dfrac{y_2 - y_1}{x_2 - x_2}$, where $m$ is the slope and $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line. Let us plug the points $(4, 5)$ and $(1, 8)$ into the formula: $m = \dfrac{5 - 8}{4 - 1}$ Simplify numerator and denominator: $m = \dfrac{-3}{3}$ Reduce the fraction: $m = -1$
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