Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 12 - Section 12.1 - Three-Dimensional Coordinate Systems - 12.1 Exercises: 7

Answer

A plane that crosses the x- and y-axes at values of 2, respectively.
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Work Step by Step

In two space, this is the line $x+y=2$ or, in slope-intercept form, $y=-x+2$. In three-space, we must account for z-values. $x+y=2$ is true for all z-values and so we have a plane that extends infinitely in both positive and negative directions relative to z.
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