#### Answer

The slope of a line that is parallel to the graph of the equation is $\frac{3}{5}$.

#### Work Step by Step

We are given
$3x=5y+10$
$\rightarrow 5y=3x-10$
$\rightarrow y=\frac{3}{5}x-2$
Nonvertical lines are parallel if they have the same slope and different y-intercepts.
Write an equation in slope-intercept form of the line where m represents the slope:
$y=mx+b$
$y=\frac{3}{5}x-2$
Therefore, the slope of a line that is parallel to the graph of the equation is $\frac{3}{5}$.