The equation of the plane through (2,-1,3) parallel to the xy-plane is

A) $z = 3$
B) $x = 2$
C) $y = - 1$
D) $z = - 3$
E) $y = 1$

Name: The equation of the plane through (2,-1,3) parallel to the xy-plane is A) $z = 3$ B) $x = 2$ C) $y = - 1$ D) $z = - 3$ E) $y = 1$
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Question

The equation of the plane through (2,-1,3) parallel to the xy-plane is

A) $z = 3$
B) $x = 2$
C) $y = - 1$
D) $z = - 3$
E) $y = 1$

Quizplus · Accepted Answer

A plane parallel to the xy-plane has a constant z-coordinate because it does not tilt in the z-direction. Since the given point is (2, -1, 3), the z-coordinate of every point on the plane is 3, making the equation of the plane $z = 3$.

The Equation of the Plane Through (2,-1,3) Parallel to the Xy-Plane