Question

How do you graph `x+y=-2` using slope and y intercepts?

Answer 1

Rewrite the equation to `y=mx+b`

This is relatively easy, just subtract `x` on both sides

`x+y=-2->y=-x-2->y=(-1)x-2`
Now the slope is obiously `-1` and the `y`-intercept is `-2`
graph{-x-2 [-12.66, 12.66, -6.33, 6.33]}

Answer 2

You can start by rearranging your equation as:
`y=ax+b`
where:
`a` is the slope
`b` is the intercept.

in your case:

`y=-x-2`
Where:
slope=`-1`
intercept=`-2` on the `y` axis.

Your slope tells you that every time `x` increases of `1` unit `y` decreases of `1` unit .

so you have: