Answer
$y=-\frac{1}{x}$
See graph.
Work Step by Step
Step 1. Rewrite the equation as $2(r\ sin\theta)(r\ cos\theta)=-2$
Step 2. Using $x=r\ cos\theta$ and $y=r\ sin\theta$, we have $xy=-1$ or $y=-\frac{1}{x}$
Step 3. See graph.
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