Question

How to do you graph `x+y= -2` by plotting points?

Answer 1

This `x+y=-2` is a linear equation. We only need two points to draw a line. Therefore, set `x=0` then solve for `y` afterwards do the other way around. set `y=0` then solve for `x`.Connect the points.

Explanation:

This is how to do it. From `x+y=-2`

Set `x=0`
`x+y=-2`
`0+y=-2`
`y=-2`

this means we have a point at `(x, y)=(0, -2)`

Now, let us do the other way around

From `x+y=-2`

set `y=0`

`x+y=-2`
`x+0=-2`

`x=-2`

this means we have another point at `(x, y)=(-2, 0)`

We now have two distinct points `(0, -2)` and `(-2, 0)`. We connect these two points using a straight line to draw the graph of `x+y=-2`

graph{y=-1x-2[-5,5,-2.5,2.5]}

God bless ....I hope the explanation is useful.