Final answer:
To select two points on the line y = -2, choose any two x-values and pair them with -2 for the y-value, resulting in points like (0, -2) and (5, -2). Plot these points on a graph for a horizontal line.
Step-by-step explanation:
To select the coordinates of two points on the line y = -2, we look for any two points that lie on this horizontal line. This implies that no matter what the x-value (X₁ or X₂) is, the y-value will always be -2. Therefore, we can choose any two x-values to create our points. Let's pick X₁ = 0 and X₂ = 5 as an example. The corresponding points on the line y = -2 would be (0, -2) and (5, -2).
To visually represent this, you could plot these points on a graph and draw a straight horizontal line through them. Since the line has a slope of 0, it is a flat line parallel to the x-axis. The y-value remains constant at -2. No matter how many points you choose on this line, the y-coordinate will always be the same while the x-coordinate can be any real number.