Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.5 - More on Slope - Exercise Set - Page 227: 36

Answer

The slope m will be negative.

Work Step by Step

Consider the initial price of the car at $x=0$; here $x=0$ represents the year $2000$. $\begin{align} & y=mx+b \\ & =m\left( 0 \right)+b \\ & =b \end{align}$ So, the initial price of the car is $b$. The price of the car decreases with an increase in time. Here, $m$ defines the slope of the graph. And, from the graph, it can be concluded that the slope defined by $m$ is negative. Thus, the slope m will be negative.
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