Describe the set of points (x, y, z) defined by the equation.
-y = 0
A) All points of the form (x, 0, 0)
B) Only the point (0, 0, 0)
C) All points of the form (0, 0, z)
D) All points of the form (x, 0, z)

Question

Quizplus · Accepted Answer

The equation y = 0 defines a plane in three-dimensional space where the y-coordinate of every point on the plane is 0. This means that the x and z coordinates can be any value, hence all points of the form (x, 0, z) are included.

Describe the Set of Points (X, Y, Z) Defined by the Equation