Answer
$r= \frac{6}{2 - 3 sin(θ)}$
Work Step by Step
$r= \frac{ed}{1 + e sin (θ)}$ (sine since directrix is horizontal line)
e = 1.5, directrix is at y=2. Focus is at (0,0) so d= 2,
$r= \frac{(1.5) (2)}{1 + (1.5) sin(θ)}$
$r= \frac{3}{1 + 3 sin(θ)}$
$r= \frac{6}{2 + 3 sin(θ)}$
