Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.5 - Linear Functions and Models - 2.5 Exercises - Page 195: 17

Answer

Table: slope = -$\frac{2}{3}$ x y 0 2 1 $\frac{4}{3}$ 2 $\frac{2}{3}$ 3 0

Work Step by Step

Using the function f(x) = -$\frac{2}{3}x$ + 2 plug in a value of x to calculate corresponding values of y. To graph the function, plot the x and y values on a coordinate grid. In this case, as we can tell from the graph (as x increases by 1, y decreases by $\frac{2}{3}$) the slope is -$\frac{2}{3}$. Additionally, a = -$\frac{2}{3}$ which confirms that the slope is, in fact, -$\frac{2}{3}$.
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