Question

What is the slope of any line perpendicular to the line passing through `(15,-12)` and `(30,34)`?

Answer 1

`"slope "=-15/46`

Explanation:

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

`•color(white)(x)m=(y_2-y_1)/(x_2-x_1)`

`"let "(x_1,y_1)=(15,-12)" and "(x_2,y_2)=(30,34)`

`rArrm=(34-(-12))/(30-15)=46/15`

`"the slope of any line perpendicular to it is "`

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

`rArrm_("perpendicular")=-1/(46/15)=-15/46`