Answer to Question #103529 in Geometry for ea

Question

The set of all the points (x, y,z) satisfying the equation x−z = z−y represents a
line. true or false ?

Answer 1

The equation $x-z=z-y$ can be rewritten as $x + y - 2z = 0$, but it is an equation of the plane instead of the line. Hence, the initial statement of the question is false.

Answer: false.