Respuesta :

The equation is a plane.

How to describe and sketch the surface in R3 represented by the equation x+y=2?

given that the surface in R3 represented by the equation x+y=2.

now take the plane with x , y and z axis.

z value can take any value.

x and y must be satisfied with the equation x+y=2.

when y = 0

[tex]x + y = 2 \\ x + 0 = 2 \\ x = 2[/tex]

when x = 0

[tex]x + y = 2 \\ 0 + y = 2 \\ y = 2 [/tex]

when take x = 1 and y = 1

[tex]x + y = 2 \\ 1 + 1 = 2[/tex]

so, the points are (0,2,0) , (2,0,0) , (1,1,3)

Then plot the point and using this points draw the plane.

Learn more about planes, refer:

https://brainly.com/question/28247880

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