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In a coordinate plane, if the coordinates of two points are (2, 3) and (2, 7), w

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Question: In a coordinate plane, if the coordinates of two points are (2, 3) and (2, 7), what is the distance between these two points?

Options:

  1. 4 units
  2. 5 units
  3. 3 units
  4. 6 units

Correct Answer: 4 units

Solution: 

The distance between two points with the same x-coordinate is the difference in their y-coordinates: |7 - 3| = 4 units.

In a coordinate plane, if the coordinates of two points are (2, 3) and (2, 7), w

Practice Questions

Q1
In a coordinate plane, if the coordinates of two points are (2, 3) and (2, 7), what is the distance between these two points?
  1. 4 units
  2. 5 units
  3. 3 units
  4. 6 units

Questions & Step-by-Step Solutions

In a coordinate plane, if the coordinates of two points are (2, 3) and (2, 7), what is the distance between these two points?
  • Step 1: Identify the coordinates of the two points. The first point is (2, 3) and the second point is (2, 7).
  • Step 2: Notice that both points have the same x-coordinate, which is 2.
  • Step 3: To find the distance between the two points, focus on their y-coordinates, which are 3 and 7.
  • Step 4: Calculate the difference between the y-coordinates: 7 - 3.
  • Step 5: The result of the subtraction is 4.
  • Step 6: The distance between the two points is 4 units.
  • Distance Between Points – Understanding how to calculate the distance between two points in a coordinate plane, particularly when they share the same x-coordinate.
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