The graph shown is not the correct graph. The graph of y =4x + 3 will have a y-intercept of 3, meaning it will pass through the point (0, 3). It will also have a slope of 4, so the graph will be a line pointing upward rather steeply.
It will pass through the following points:
(-2, -5) ,(-1,-1), (1, 7), (2, 11), (3, 15).