Answer
$r=\frac{25}{1+5cos\theta}$.
Work Step by Step
1. Based on the given direction and position of the directrix, we know the equation has a form
$r=\frac{ep}{1+e\ cos\theta}$,
2. With $e=5$ and $p=5$, we have $r=\frac{25}{1+5cos\theta}$.