Question

How do you find the slope perpendicular to `x + y = -3`?

Answer 1

A slope of `1` is perpendicular to `x+y = -3`

Explanation:

If we rewrite `x+y= -3` in slope-intercept form, we get

`color(white)("XXXX")` `y= (-1)x -3` with a slope of `m=(-1)`

For any slope `m`, the slope perpendicular to it is `(-1/m)`

So the slope perpendicular to `x+y= -3` is `(-1/(-1)) = 1`