For Any Constant C $y = 4 x - 16 + C e ^ { - x / 4 }$

Multiple Choice

For any constant C, $y = 4 x - 16 + C e ^ { - x / 4 }$ is a solution to the differential equation $\frac { d y } { d x } = x - \frac { 1 } { 4 } y$ .Find the solution through the point (0, -4) .

A) $y = 4 x - 16 + 16 e ^ { - x / 4 }$
B) $y = 4 x - 16 - 4 e ^ { - x / 4 }$
C) $y = 4 x - 16 + 12 e ^ { - x / 4 }$
D) $y = 4 x - 16 - 16 e ^ { - x / 4 }$