Two friends are going about their daily activities. Their city can be visualized as a coordinate plane. Taylor drives on a road that goes in a straight line from her house located at (–3, 1) to her job at (3, 3). Ben drives from his class located at (-1, –1) to the gym at (1, 5), also on a straight street. a. Plot the line containing Taylor’s starting point and her destination on a coordinate plane. Plot the line containing Ben’s starting point and his destination on the same coordinate plane.

b. Write the system of equations in the form of y=mx+b

Taylor's equation:

Ben's equation:

c. Taylor has a book she wants to return to Ben. She is running late and doesn’t have time to go to his house. Is there any place she can leave it on her way to work that is convenient for him to pick it up? If yes, where, as expressed in terms of coordinates on the plane?