Question

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

Answer 1

6

Explanation:

Given 2 lines with slopes `m_1" and " m_2" respectively."`

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

That is `color(red)(|bar(ul(color(white)(a/a)color(black)(m_1xxm_2=-1)color(white)(a/a)|)))`

here let `m_1=-1/6`

`rArr-1/6xxm_2=-1rArrm_2=(-1)/(-1/6)=6`

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