What is the slope of any line perpendicular to the line passing through $(5,-6)$ and $(-2,1)$ ?

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Answer 1 · 2016-07-04T12:15:32

Slope is 1.

The slope of the line is given by $m = (Deltay)/(Deltax)$

$m = (1-(-6))/((-2)-5) = 7/(-7) = -1$

The product of two perpendicular gradients is always equal to -1, so

$m*m_(perp) = -1$

$m_(perp) = (-1)/-1 = 1$

What is the slope of any line perpendicular to the line passing through (5,-6)(5,-6) and (-2,1)(-2,1)?