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

1 Answer
Sep 1, 2016

Answer:

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