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

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

• A. Yes
• B. No
• C. Depends on the slope
• D. Cannot be determined

Answer: (A)

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.

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.