Answer
$r = \frac{5}{2~cos~\theta+sin~\theta}$
We can see the graph below:
Work Step by Step
$2x+y = 5$
$2~r~cos~\theta+r~sin~\theta = 5$
$r = \frac{5}{2~cos~\theta+sin~\theta}$
We can see the graph below:
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