## Intermediate Algebra (6th Edition)

$m=\dfrac{3}{5}$
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 $m=\dfrac{3}{5}$.