Question

What is the slope of any line perpendicular to the line passing through `(6,12)` and `(5,2)`?

Answer 1

The slope of any line perpendicular to the line passing through `(6,12)` and `(5,2)` is `(-1/10)`

Explanation:

Slope of a line through `(6,12)` and `(5,2)` is
`color(white)("XXX")m=(Delta y)/(Delta x) = (12-2)/(6-5) =10`

If a line has a slope of `m`
`color(white)("XXX")`then every line perpendicular to it has a slope of `-1/m`