Find the Equation of the Tangent Plane To $x ^ { 2 } + 2 x y + 4 y + 6 = z ^ { 2 }$

Multiple Choice

Find the equation of the tangent plane to $x ^ { 2 } + 2 x y + 4 y + 6 = z ^ { 2 }$ at the point (-4, 1, 3) .

A) $6 x + 4 y + 6 z = - 4$
B) $- 6 x + 4 y + 6 z = - 2$
C) $6 x - 4 y + 6 z = - 2$
D) $6 x + 4 y + 6 z = 2$
E) $6 x + 4 y + 6 z = - 2$