Question

What is the slope of x+y=0?

Answer 1

Slope `=-1`

Explanation:

Well, we want the equation in terms of `y` first so we can do that by subtracting both sides by `x`

`y+xcolor(red)(-x)=0color(red)(-x)`

`y=-x`

This is simply a line that crosses the origin and is decreasing.

If we recall, `y=mx+b`, `m` is the slope of the line which is the coefficient (or number) in front of the variable.

From our equation, the slope, `m` is `-1`

Note: `-x` is the same as saying `-1x`