Question

What is the slope of any line perpendicular to the line passing through `(-12,14)` and `(-13,1)`?

Answer 1

`-1/13`

Explanation:

Let the slope of the line passing through the given points be `m`.

`m=(1-14)/(-13-(-12))=(-13)/(-13+12)=(-13)/-1=13`

Let the slope of the line perpendicular to the line passing through the given points be `m'`.

Then `m*m'=-1 implies m'=-1/m=-1/(13)`

`implies m'=-1/13`

Hence, the slope of the required line is `-1/13`.