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
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