Question

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

Answer 1

Slope is 1.

Explanation:

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`