# What is the slope of the line perpendicular to  y=-5/3x+6 ?

$m = \frac{3}{5}$
The slopes of perpendicular lines are negative reciprocals. This means, to find the slope of a perpendicular line, when given slope form is to find the slope (in this case $m = - \frac{5}{3}$) and flip it with the opposite sign. So:
$- \frac{5}{3}$ $\to \frac{3}{5}$