Answer
$$r = \frac 6 {2 + 3 \space sin(\theta)}$$
Work Step by Step
1. Determine the equation that we are going to use:
Since the directrix is defined by $y = 2$, we are going to use $sin(\theta)$ in the formula.
Since $2$ is positive, the equation will have "$+sin(\theta)$":
$$r = \frac{ed}{1 + esin(\theta)}$$
2. Substitute the given values for $d$ (directrix) and e (eccentricity):
$$r = \frac{(1.5)(2)}{1 + (1.5)sin(\theta)} = \frac{3}{1 + 1.5\space sin(\theta)}$$
If we want to remove the decimal number, we should multiply the fraction by $\frac 2 2$:
$$r = \frac{3}{1 + 1.5\space sin(\theta)} \times \frac 22 = \frac 6 {2 + 3 \space sin(\theta)}$$
