Find an Equivalent Equation in Rectangular Coordinates $$\mathrm { r } = 2 ( \sin \theta - \cos \theta )$$

Multiple Choice

Find an equivalent equation in rectangular coordinates.
- $$\mathrm { r } = 2 ( \sin \theta - \cos \theta )$$

A) $2 x ^ { 2 } + 2 y ^ { 2 } = y - x$
B) $x ^ { 2 } + y ^ { 2 } = 2 x - 2 y$
C) $2 x ^ { 2 } + 2 y ^ { 2 } = x - y$
D) $x ^ { 2 } + y ^ { 2 } = 2 y - 2 x$