Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 1 - Linear Functions and Change - Exercises and Problems for Section 1.1 - Skill Refresher - Page 6: S9


Answer is $A = (-2, 8)$.

Work Step by Step

Let's take a look at the figure. We know that the figure is a parallelogram. The $y$ coordinate does not change, since it is parallel to the x-axis. In order to compute the $x$ value, we subtract the value of the starting point, which is $5$, by the value of the length of the segment. The length of the segment is $7$, which we can read from the x-axis. So we compute $ x = 5 - 7 = - 2$. This is the $x$ value of $A$ and $ A = (-2,8)$.
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