The graph shows two lines, a and b:

a graph is shown with x and y axes labeled from 0 to 6 at increments of 1. a straight line labeled a joins the ordered pair 2, 0 and the ordered pair 0, 4. another straight line labeled b joins the ordered pair 0, 1 and the ordered pair 5, 6.

based on the graph, which statement is correct about the solution to the system of equations for lines a and b?

(1, 2) is the solution to line a but not to line b.
(1, 2) is the solution to both lines a and b.
(0, 1) is the solution to both lines a and b.
(0, 1) is the solution to line a but not to line b.