Vector equation of the plane with the point and normal vector is .

The plane contains the line and parallel to the line .

From the line it is the coefficients from the each side of the variables.

and .

The equation for a plane requires a point that lies on the plane,and a vector that is normal

which is parallel to the plane.

The point on the plane is .

Find the normal vector.

Since the plane is parallel to another plane with equation , it has the same normal vector as the other plane.

.

Substitute above values in the vector equation.

.

.

The equation of the plane is .