Answer
See the attached image.
Work Step by Step
Given: $6x+5y-3z=15$
$x$-intercept $6x=15$ $\implies$ $x=5/2$
$y$-intercept $5y=15$ $\implies$ $y=3$
$z$-intercept $-3z=15$ $\implies$ $z=-5$
The graph is depicted as below:
Multivariable Calculus, 7th Edition
by Stewart, James
Published by
Brooks Cole
ISBN 10:
0-53849-787-4
ISBN 13:
978-0-53849-787-9
Chapter 12 - Vectors and the Geometry of Space - 12.5 Exercises - Page 849: 44
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