In a set of ordered pairs, if (2, 3) and (2, -1), are they on the same vertical line?

The ordered pairs (2, 3) and (2, -1) each share the same x-coordinate, which is 2. In the Cartesian coordinate system, ordered pairs are represented as (x, y), where x indicates the horizontal position and y indicates the vertical position.

When two points share the same x-coordinate, it indicates that they lie on a vertical line. This is because a vertical line consists of all points where x remains constant while y can take on any value. In this case, since both points have the x-value of 2, they are indeed on the same vertical line.

Therefore, the correct answer is that these points are on the same vertical line.