# Given that the slope of a line is -1/6, what is the slope of a line that is perpendicular to it?

Sep 1, 2016

6

#### Explanation:

Given 2 lines with slopes ${m}_{1} \text{ and " m_2" respectively.}$

If the lines are perpendicular to each other then the product of their slopes equals - 1.

That is $\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{m}_{1} \times {m}_{2} = - 1} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

here let ${m}_{1} = - \frac{1}{6}$

$\Rightarrow - \frac{1}{6} \times {m}_{2} = - 1 \Rightarrow {m}_{2} = \frac{- 1}{- \frac{1}{6}} = 6$

That is the slope of the perpendicular line is m = 6