How do you find the slope of a line perpendicular to M(2, -1), N(0, 4)?

Jul 1, 2016

$s l o p e = \frac{2}{5}$

Explanation:

The slope of the line MN is obtained by:

$s l o p {e}_{M N} = \frac{4 + 1}{0 - 2} = - \frac{5}{2}$

the slope of a line perpendicular to MN is given by

$- \frac{1}{s l o p {e}_{M N}} = \frac{2}{5}$