Your graph is wrong, the two lines you have are y = -x + 2 and y = -10x + 5. You graphed y = -x + 2 correctly but not the other line. You would be correct if it was y=-5x + 10 rather than 2y = -5x+ 10. Your intersection is also wrong as well. -x + 2 = -10x + 5, so x = 1/3, making y = 5/3. The intersection is (1/3, 5/3).