College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.1 - The Coordinate Plane - 1.1 Exercises - Page 92: 40

Answer

$9$

Work Step by Step

Area $=\displaystyle \frac{1}{2}$ (base)$\times$(height). We take the side $AB$ as base since it is parallel to the x-axis. The height is the change in the y-coordinates to the point C, opposite the base base = $|-2-4|=6$ height is $|4-1|=3$. Area = $\displaystyle \frac{1}{2}(6\cdot 3)=9$.
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