Convert to Rectangular Form $$r \sin \left( \theta + \frac { \pi } { 4 } \right) = 4$$

Multiple Choice

Convert to rectangular form. $$r \sin \left( \theta + \frac { \pi } { 4 } \right) = 4$$

A) $y = - x + 8 \sqrt { 2 }$
B) $y = - x + 4 \sqrt { 2 }$
C) $y = - x \sqrt { 2 } + 4 \sqrt { 2 }$
D) $y = x + 4 \sqrt { 2 }$
E) $y = 4 - \frac { \sqrt { 2 } } { 2 }$