Question

Whats the slope of a line perpendicular to `x - y = 16`?

Answer 1

All lines perpendicular to `x-y = 16`
have a slope of `-1`

Explanation:

`x - y = 16` has a slope of `1`
`color(white)("XXXX")`(this can be demonstrated by:
`color(white)("XXXX")` `color(white)("XXXX")` `@` converting to slope-point form
`color(white)("XXXX")` `color(white)("XXXX")`or
`color(white)("XXXX")` `color(white)("XXXX")` `@` using the slope `= -b/a` formula)

If a line has a slope of `m`
`color(white)("XXXX")`all lines perpendicular to it have a slope of `(-1/m)`

Therefore all lines perpendicular to `x-y = 16`
`color(white)("XXXX")`have a slope of `(-1)`