   Chapter 10.6, Problem 19E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 19 and 20, use the x , y , and z -intercepts to sketch the plane for each equation. x + 2 y + z = 6

To determine

To sketch:

The plane for the equation x+2y+z=6.

Explanation

The given plane equation is x+2y+z=6.

To find the x-intercept,

Let y=0 and z=0

x+20+0=6

x=6

Therefore, x-intercept is 6, 0, 0.

To find the y-intercept,

Let x=0 and z=0

0+2y+0=6

2y=6

From this,

y=3

Therefore, y-intercept is 0, 3, 0

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