Question

How do you find the slope of a line perpendicular to `y=2x`?

Answer 1

All lines perpendicular to `y=2x` have a slope of `(-1/2)`

Explanation:

`y=2x` has a slope of `2`
`color(white)("XXXX")`this follows from the observation that
`color(white)("XXXX")` `color(white)("XXXX")` `y=2x`
`color(white)("XXXX")` is of the slope-intercept form with a slope of `2`
`color(white)("XXXX")`(and a y-intercept of `0`).

If a line has a slope of `m` then
all lines parallel to it have a slope of `-1/m`.