Answer
$${\text{The graph represents a straight line with slope 2}}$$
Work Step by Step
$$\eqalign{
& r = \frac{2}{{2\cos \theta - \sin \theta }} \cr
& {\text{Multiply both sides by }}\frac{1}{r} \cr
& 1 = \frac{2}{{2r\cos \theta - r\sin \theta }} \cr
& {\text{Where }}{r^2} = {x^2} + {y^2}{\text{ and }}r\cos \theta = x \cr
& 1 = \frac{2}{{2x - y}} \cr
& 2x - y = 2 \cr
& y = 2x - 2 \cr
& {\text{Therefore,}} \cr
& {\text{The graph represents a straight line with slope 2}} \cr} $$
