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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 19 and 20, use the x , y , and z -intercepts to sketch the plane for each equation.

2 x - y + 4 z = 8

To determine

To sketch:

The plane for the equation 2x-y+4z=8.

Explanation

The given plane equation is 2x-y+4z=8.

To find the x-intercept,

Let y=0 and z=0

2x-0+40=8

2x=8

From this,

x=4

Therefore, x-intercept is 4, 0, 0.

To find the y-intercept,

Let x=0 and z=0

20-y+40=6

-y=8

From this,

y=-8

Therefore, y-intercept is 0, -8, 0

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