1. The problem is to determine which graph represents the equation $x - y = 2$ by checking if given points satisfy the equation. 2. The equation is $x - y = 2$. To check if a point $(x,y)$ lies on the graph, substitute $x$ and $y$ into the left side and see if it equals 2. 3. For point A $(-2,0)$: Left side: $x - y = -2 - 0 = -2$ Right side: $2$ Since $-2 \neq 2$, point A does not satisfy the equation. 4. For point C $(0,-2)$: Left side: $x - y = 0 - (-2) = 0 + 2 = 2$ Right side: $2$ Since $2 = 2$, point C satisfies the equation. 5. For point D $(2,0)$: Left side: $x - y = 2 - 0 = 2$ Right side: $2$ Since $2 = 2$, point D satisfies the equation. 6. Points C and D satisfy the equation $x - y = 2$, so the graph passing through these points represents the equation. 7. According to the description, Graph ii passes through points D $(2,0)$ and C $(0,-2)$. 8. Therefore, Graph ii has the equation $x - y = 2$. Final answer: Graph ii represents the equation $x - y = 2$.