Answer
$x +y -z =0$
Work Step by Step
Since the two planes are parallel, they will have the same normal vectors. A normal vector for the plane z=x+y or x +y-z= 0 is n=<1,1,-1>.
the desired equation is 1(x-2) +1(y-4)-1(z-6)=0
OR
x + y -z =0
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 848: 28
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