What is the distance between the points (2, 3) and (2, 7)?

What is the distance between the points (2, 3) and (2, 7)?

• A. 2
• B. 3
• C. 4
• D. 5

Answer: (C)

To find the distance between two points in a coordinate plane, one can use the distance formula, which is derived from the Pythagorean theorem. However, in this particular case, it's helpful to observe the coordinates of the points: (2, 3) and (2, 7). Both points share the same x-coordinate (which is 2), indicating they lie on a vertical line. The distance between them can be determined by calculating the difference in their y-coordinates. Specifically, the y-coordinates are 3 and 7. To find the distance, subtract the smaller y-coordinate from the larger one: Distance = |7 - 3| = |4| = 4. Hence, the distance between the points (2, 3) and (2, 7) is 4, making this the correct answer. The distance remains straightforward in cases where points are vertically aligned, as it simplifies to just the difference in their vertical positions.

To find the distance between two points in a coordinate plane, one can use the distance formula, which is derived from the Pythagorean theorem. However, in this particular case, it's helpful to observe the coordinates of the points: (2, 3) and (2, 7).

Both points share the same x-coordinate (which is 2), indicating they lie on a vertical line. The distance between them can be determined by calculating the difference in their y-coordinates. Specifically, the y-coordinates are 3 and 7.

To find the distance, subtract the smaller y-coordinate from the larger one:

Distance = |7 - 3| = |4| = 4.

Hence, the distance between the points (2, 3) and (2, 7) is 4, making this the correct answer. The distance remains straightforward in cases where points are vertically aligned, as it simplifies to just the difference in their vertical positions.