graph this?

I'd do it more simple mathematician

2x+2y=4

If x=0 then 2y=4 so y=2    (0,2)

If y=0 then 2x=4 so x=2     (2,0)

plot the points and draw the line through them.

The best thing to do with this to graph it is to first convert it into slope-intercept form (y = mx + b.)

To do this, we must remove the number modifying y. So we divide everything by 2:

2x + 2y = 4

    x + y = 2

Then we move x to the other side by subtracting x from each side:

    x + y = 2

          y = -x + 2

This makes an equation that is much easier to interpret and graph.

To put it on a graph, we start with the y-intercept (2).

Your first dot will got on (0, 2) and then after that each dot will be modified by the slope (-1).

So your next dots will be (1, 1), (2, 0), (3, -1), etc...

Going backwards on your line will be exactly the opposite: add 1 to each y and subtract 1 from each x:

(-1, 3), (-2, 4), (-3, 5), etc...