Find the Equation of the Normal Line to the Given $2 x ^ { 2 } + 8 y ^ { 2 } + 3 z ^ { 2 } = 235 , ( 4,4,5 )$

Multiple Choice

Find the equation of the normal line to the given surface at the specified point. $2 x ^ { 2 } + 8 y ^ { 2 } + 3 z ^ { 2 } = 235 , ( 4,4,5 )$

A) $2 x + 8 y + 3 z = 1$
B) $16 x + 64 y + 30 z = 235$
C) $\frac { x - 4 } { 55 } = \frac { y - 4 } { 55 } = \frac { z - 5 } { 55 }$
D) $\frac { x - 4 } { 16 } = \frac { y - 4 } { 64 } = \frac { z - 5 } { 30 }$
E) $\frac { x + 4 } { 16 } = \frac { y + 4 } { 64 } = \frac { z + 5 } { 30 }$