Answer
See the attached image.
Work Step by Step
Given: $6x-3y+4z=6$
$x$-intercept $6x=6$ $\implies$ $x=1$
$y$-intercept $-3y=6$ $\implies$ $y=-2$
$z$-intercept $4z=6$ $\implies$ $z=\frac{3}{2}$
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: 43
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