transforming cartesian to polar coordinates?

Question

Transform the given polar equation to rectangular coordinates, and identify the curve represented. $$r=\frac{5}{3\sin\theta-4\cos\theta}$$ Any tips? The first thing I tried was replace $\sin\theta$ and $\cos\theta$ with $y/r$ and $x/r$ respectively. Then what do I do? Thanks!

Answer 1

Hint: $$3r\sin \theta - 4r\cos\theta=5$$