Final answer:
The question requires plotting two points with the same x-coordinate, which are (2, -2.5) and (2, 2), resulting in a vertical line on the Cartesian plane.
Step-by-step explanation:
The student is asked to find and plot two points on a Cartesian plane. The given points are (2, -2 - 0.5) and (2, 4 - 2). We first simplify the y-values of these points. For the first point, -2 - 0.5 simplifies to -2.5. For the second point, 4 - 2 simplifies to 2. Therefore, the points to plot are (2, -2.5) and (2, 2). To plot these points, you locate the x-coordinate on the horizontal axis, which is 2 for both points, and then find the y-coordinate on the vertical axis. For the first point, you go down to -2.5 on the vertical axis, and for the second point, you go up to 2 on the vertical axis. Once the points are marked on the graph, you would typically connect them with a line if they are part of a line graph or equation; however, since both have the same x-coordinate, they form a vertical line.