Question

What is the slope of any line perpendicular to the line passing through `(-4,10)` and `(2,7)`?

Answer 1

`2`

Explanation:

Slope of line joining `(-4,10),(2,7)` is `(y_2-y_1)/(x_2-x_1)`

`=>(7-10)/(2-(-4))`

`=>(-3)/(2+4)`

`=>(cancel(-3)^(-1))/(cancel(6)^2)`

`=>-1/2`

Slope of perpendicular line is `-1/m` (where m is slope of given line) that is `-1/(-1/2) =2`