Answer
False. The slope is $\frac{3}{2}$.
Work Step by Step
$2y=3x+5$
The equation needs to be solved so that one ide is equal to $y$.
Divide both sides of the equation by $2$.
This gives you $y=\frac{3}{2}x+\frac{5}{3}$.
$\frac{3}{2}$ is the actual slope, so the answer is false.