Question

Describe and sketch the surface in R^3 represented by the equation x + y = 2

Answer 1

Answer:

The Surface in R^3

Step-by-step explanation:

Represented by the equation x+y=2

when y=0

then 0=2-x

x=2

similarly

when x=0

then 0=2-y

y=2

the sketch and description is in attached file

Answer 2

Answer:  The equation is a plane.

Graph is attached.

The equation $x + y = 2$ is an equation of a plane in $R^3$.

z can take any value and x and y must satisfy the equation $x + y = 2$.

3 such points are: $A = (0, 2, 0), B = (2, 0, 0), C = (1, 1, 3)$.

Then we plot the points and draw a plane through them.

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