The third answer of (-4, -8) is correct.
Since both equations are equal to y. You can set them equal to each other instead of the Ys. Then you have x - 2 = 3x + 4. Subtract the x to the 3x to 2x. Then subtract the 4 from the right side of the equation to get -8. Divide by 2 to isolate th x and you get -2. Which you can plug into both equations to yet -4 and -8. The point not only satisfies both equations which means it's the point of interception not one that lies in the middle.