Answer
See the attached image.
Work Step by Step
Given: $3x+y+2z=6$
$x$-intercept $3x=6$ $\implies$ $x=2$
$y$-intercept $y=6$ $\implies$ $y=6$
$z$-intercept $2z=6$ $\implies$ $z=3$
The graph is depicted as below:
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 12 - Section 12.5 - Equations of Lines and Planes - 12.5 Exercises - Page 832: 42
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