Question

What is the slope any line perpendicular to the line passing through `(-8,1)` and `(-5,12)`?

Answer 1

`-3/11`

Explanation:

`"given a line with slope m then the slope of any line"`
`"perpendicular to it is"`

`m_(color(red)"perpendicular")=-1/m`

`"to find m use the "color(blue)"gradient formula"`

`color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))`

`"where " (x_1,y_1),(x_2,y_2)" are 2 coordinate points"`

`"the points are " (x_1,y_1)=(-8,1),(x_2,y_2)=(-5,12)`

`rArrm=(12-1)/(-5-(-8))=11/3`

`rArrm_(color(red)"perpendicular")=-1/(11/3)=-3/11`