Find the general form of the equation of the plane with the given characteristics. The plane passes through the point (-2,-3,-5)and is parallel to the yz-plane.
A)x + y + z = -10
B)y = -3
C)z = -5
D)y + z = -8
E)x = -2

Question

Quizplus · Accepted Answer

The plane parallel to the yz-plane means its normal vector is in the x-direction (i.e., it varies only in x). Thus, the equation of the plane doesn't involve y or z, making E) x = -2 the correct choice, as it passes through the point (-2, -3, -5) and satisfies the condition of being parallel to the yz-plane.

Find the General Form of the Equation of the Plane