Answer
$m=\dfrac{3}{5}$
Work Step by Step
The equivalent slope-intercept form ($y=mx+b$) of the given equation is
\begin{align*}
3x-5y&=14\\
-5y&=-3x+14\\
y&=\dfrac{-3}{-5}x+\dfrac{14}{-5}\\\\
y&=\dfrac{3}{5}x-\dfrac{14}{5}
.\end{align*}
Hence, the slope is $m=\dfrac{3}{5}$.
