# What is the slope of the line perpendicular to  y=-12/5x +15 ?

$\frac{5}{12}$
The slope of this line is $- \frac{12}{5}$.
Perpendicular lines have opposite reciprocal slopes. To find an opposite reciprocal, multiply by $- 1$ and flip the numerator and denominator.
Hence the opposite reciprocal of $- \frac{12}{5}$ and the slope of a line perpendicular to a line with a slope of $- \frac{12}{5}$ is $\frac{5}{12}$.