What is the distance between the points (6, 8) and (6, 2)?

Practice Questions

Q1
What is the distance between the points (6, 8) and (6, 2)?
  1. 6
  2. 5
  3. 4
  4. 3

Questions & Step-by-Step Solutions

What is the distance between the points (6, 8) and (6, 2)?
  • Step 1: Identify the coordinates of the two points. The first point is (6, 8) and the second point is (6, 2).
  • Step 2: Write down the distance formula: d = √[(x2 - x1)² + (y2 - y1)²].
  • Step 3: Substitute the coordinates into the formula. Here, x1 = 6, y1 = 8, x2 = 6, and y2 = 2.
  • Step 4: Calculate the difference in the x-coordinates: (6 - 6) = 0.
  • Step 5: Calculate the difference in the y-coordinates: (2 - 8) = -6.
  • Step 6: Square the differences: (0)² = 0 and (-6)² = 36.
  • Step 7: Add the squared differences: 0 + 36 = 36.
  • Step 8: Take the square root of the sum: √36 = 6.
  • Step 9: The distance between the points (6, 8) and (6, 2) is 6.
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