Answer
$r = \frac{6}{3~cos~\theta-2~sin~\theta}$
We can see the graph below:
Work Step by Step
$3x-2y = 6$
$3~r~cos~\theta-2~r~sin~\theta = 6$
$r = \frac{6}{3~cos~\theta-2~sin~\theta}$
We can see the graph below:
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