The equation is a plane.
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:
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