Final answer:
The shape formed by connecting the points (0, 0), (0, 5), (4, 7), (4, 0) on the coordinate plane is a rectangle.
Step-by-step explanation:
To plot the points (0, 0), (0, 5), (4, 7), (4, 0) on the coordinate plane, we can connect the points in the order given. The shape formed by connecting these points is a rectangle.
A rectangle is a quadrilateral with opposite sides that are equal in length and all angles are 90 degrees. In this case, the sides with equal length are the sides connecting (0, 0) with (0, 5), and the sides connecting (4, 7) with (4, 0).