# What is the slope of the line perpendicular to  y=-10/3x +12 ?

Jul 25, 2018

The slope perpendicular is $+ \frac{3}{10}$

#### Explanation:

If two lines are perpendicular, then there is a specific relationship between their slopes:

One slope is the negative reciprocal of the other.

The product of their slopes is $- 1$

if one is $\frac{a}{b}$, then the other is $- \frac{b}{a}$

For example. $\frac{2}{3}$ is perpendicular to $- \frac{3}{2}$

$\frac{2}{3} \times - \frac{3}{2} = - 1$

In this case the slope is $- \frac{10}{3}$

The slope perpendicular is $+ \frac{3}{10}$

$- \frac{10}{3} \times \frac{3}{10} = - 1$