Question

What is the slope of any line that is perpendicular to the line that contains the points (8, 8) and (12, 12)?

Answer 1

slope(m)=-1

Explanation:

let the point (8,8) and (12,12) be (
`x_(1)`,
`y_(1)`) and (
`x_(2) , y_(2)`)

slope of point(
`m_(1)`)=
`(y_(2)-y_(1) )/(x_(2) -x_(1) )`

=(12-8)/(12-8)

=1

let the slope of perpendicular line to given point be
`m_(2)`

now ,

`m_(1) m_(2)`=-1

so
`m_(2)`=-1