Answer
$\dfrac {4}{2-\sin \theta }$
Work Step by Step
Becouse directx is $y=-4$ (negative and paralel to $x$ )
$r=\dfrac {ed}{1-e\sin \theta }=\dfrac {\dfrac {1}{2}\times 4}{1-\dfrac {1}{2}\sin \theta }=\dfrac {4}{2-\sin \theta }$
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