Final answer:
Option b) correctly represents the given set of points (-3, 2), (5, 5), (3, 3), (3, -2) on a coordinate plane as it contains all the points in the set and no additional ones.
Step-by-step explanation:
The given set of points is (-3, 2), (5, 5), (3, 3), (3, -2). When looking for a graph that represents this set of points, we need to identify the option that contains all of these exact points plotted on the Cartesian coordinate system.
Option b) A coordinate plane has 4 points. The points are (-3, 2), (3, -2), (3, 3), (5, 5) matches the given set exactly. Each point listed in this option corresponds to a point in the set, and there are no extra points that do not belong to the set. Therefore, this is the correct option that represents the same relation as the given set.
It is important to notice that each point on a graph represents the dependence of y on x and can be matched with the given set to determine if the representation is accurate. Graphs use a system of two straight lines, or axes, to label these points, which is crucial when looking for a graph to match a set of points.