Answer
$\left( {x,y} \right) = \left( {3\sqrt 3 ,3} \right)$
Work Step by Step
$$\eqalign{
& \left( {\underbrace { - 6}_r,\underbrace {\frac{{7\pi }}{6}}_\theta } \right){\text{ }} \cr
& {\text{Find the rectangular coordinates }}\left( {x,y} \right) \cr
& x = r\cos \theta ,{\text{ and }}y = r\sin \theta ,{\text{ then}} \cr
& x = - 6\cos \left( {\frac{{7\pi }}{6}} \right) = 3\sqrt 3 \cr
& y = - 6\sin \left( {\frac{{7\pi }}{6}} \right) = 3 \cr
& {\text{Therefore}}{\text{, the rectangular coordinates are:}} \cr
& \left( {x,y} \right) = \left( {3\sqrt 3 ,3} \right) \cr
& \cr
& {\text{Using Geogebra we obtain}} \cr
& {\text{Graph}} \cr} $$
