You're close. However, the line through (0,-4) should move uphill as you read it from left to right. This is because the slope 2 is positive. Two points on this line are (0,-4) and (1, -2)
The other line through (0,3) and (4,4) is correct. Though make sure you extend out both lines as far as you can. This is to help ensure that the non-parallel lines eventually cross at some point. This intersection point happens to be (4,4)
So the solution to the system is (x,y) = (4,4) meaning that x = 4 and y = 4 pair up together to make both original equations true at the same time.