The graph shows two lines, A and B.

Question

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, 6 with the ordered pair 5, 0. Another straight line labeled B joins the ordered pair 0, 2 with the ordered pair 6, 6.
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)

Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)

Answer 1

Part A: The pair of equations for lines A and B have only one solution. This is because the two lines intersect at a single point on the graph.

Part B: The solution to the equations of lines A and B is the point where the two lines intersect on the graph. By examining the graph, we can see that they intersect at the point (4, 2). This is the only point where the two lines coincide, making it the solution to the system of equations for lines A and B.