Answer
$\dfrac{2}{25}$
Work Step by Step
The slope-intercept form of a line is given by the following formula:
$y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
Rewrite the equation of the line in slope-intercept form in order to find the slope of the line
$5y+3=\frac{2}{5}x\\
5y = \frac{2}{5}x - 3\\
y = (\frac{2}{5}x-3) \div 5\\
y=\frac{2}{25}x-\frac{3}{5}$
The slope of the given line is the coefficient of $x$, so the slope is $\dfrac{2}{25}$.
