Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 2 - Linear and Quadratic Functions - Section 2.1 Properties of Linear Functions and Linear Models - 2.1 Assess Your Understanding - Page 126: 18

Answer

(a) slope $m=-\frac{2}{3}$, y-intercept $b=4$. (b) See graph. (c) $-\frac{2}{3}$. (d) decreasing.

Work Step by Step

(a) Given $y=-\frac{2}{3}x+4$, we can determine the slope $m=-\frac{2}{3}$, y-intercept $b=4$. (b) Start from $(0,4)$, move 2 units to the right, then 2 units down to reach $(2,2)$, connect the points. See graph. (c) The average rate of change is the same as the slope, thus $R=m=-\frac{2}{3}$. (d) The linear function is decreasing.
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