Answer
$-\displaystyle \frac{5}{3}$
Work Step by Step
If $x=x(t), \quad y=y(t)$, then
$\displaystyle \frac{dy}{dx}=\frac{(\frac{dy}{dt})}{(\frac{dx}{dt})}$
$\displaystyle \frac{dy}{dt}=\frac{d}{dt}[-5t]=-5$
$\displaystyle \frac{dx}{dt}=\frac{d}{dt}[2+3t]=3$
$\displaystyle \frac{dy}{dx}=\frac{-5}{3}=-\frac{5}{3}$
