Solve the system by graphing. \[ \begin{array}{l} x+y=-2 \\ x-y=2 \end{array} \] Use the graphing tool to graph the system. Click to enlarge graph

Step 1 ：We can find \(x\) by adding the first equation to the second. From \[x+y+x-y=2-2\] we get \[2x=0\], so \[x=0\].

Step 2 ：Substituting into the first equation, we can find \(y\): \[x+y=-2 \implies y=-2-x=-2-0=-2\].

Step 3 ：Thus our answer is \(\boxed{(0,-2)}\).