Describe the given set of points with a single equation or with a pair of equations.
-The plane through the point (-1, -2, -5) and perpendicular to the x-axis
A) y = -2 and z = -5
B) -1 + y + z = 0
C) x = -1
D) y + z = -7

Question

Quizplus · Accepted Answer

A plane perpendicular to the x-axis would have a constant value for x, which in this case is -1. Therefore, the equation for this plane is x = -1. Choices A and D are incorrect because they only give equations for lines and do not include the constant value for x. Choice B is also incorrect because it does not limit the value of x and could include points not on the plane.

Describe the Given Set of Points with a Single Equation