Question

Graph 2=x+y?

Answer 1

`y = -x + 2`

Explanation:

`2=x+y`

First put in slope intercept form `y=mx+b`:

m = slope
b = y-intercept

`2=x+y`
`2 - x=x-x+y`
`2 - x = y` (flip it around)
`y = 2 -x` (then into slope intercept form)
`y = -x + 2`

m = -1
y = 2

so the y-intercept is 2 and the slope is -1 (i.e. -1 rise, 1 run)

graph{y=-x+2 [-8.89, 8.89, -4.444, 4.445]}

Answer 2

Find the x- and y-intercepts. Plot them and draw a straight line through them.

Explanation:

Graph:

`2=x+y`

Switch sides.

`x+y=2`

This is a linear equation in standard form. In this form, we can easily find the x- and y-intercepts, which can be plotted and a straight line drawn through them.

X-intercept: value of `x` when `y=0`

Substitute `0` for `y`.

`x+0=2`

`x=2`

The x-intercept is `(2,0)`.

Y-intercept: value of `y` when `x=0`

Substitute `0` for `x`.

`0+y=2`

`y=2`

The y-intercept is `(0,2)`.

Plot the x- and y-intercepts and draw a straight line through them.

graph{x+y=2 [-10, 10, -5, 5]}