Question

What is the slope of any line perpendicular to the line passing through `(14,19)` and `(12,15)`?

Answer 1

`-1/2`

Explanation:

Let the slope of this line be `m` and that of the line perpendicular to it be `m'`, then `m.m' = - 1`

`=>m'= - 1/m = - 1/((y_2 - y_1)/(x_2 - x_1))=-(x_2-x_1)/(y_2-y_1)=- (12-14)/(15-19)=-(-2)/-4=-2/4`
`implies m'=-2/4=-1/2`.

`implies` the slope of line perpendicular to the line passing through the given points is `-1/2`.