Calculate the distance between the points (6, 8) and (6, 2).

Calculate 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: Assign the coordinates to the formula. Here, x1 = 6, y1 = 8, x2 = 6, and y2 = 2.
Step 4: Substitute the values into the formula: d = √((6 - 6)² + (2 - 8)²).
Step 5: Calculate (6 - 6) which equals 0, and (2 - 8) which equals -6.
Step 6: Square the results: (0)² = 0 and (-6)² = 36.
Step 7: Add the squared results together: 0 + 36 = 36.
Step 8: Take the square root of 36: √36 = 6.
Step 9: The distance between the points (6, 8) and (6, 2) is 6.

Distance Formula – The distance between two points in a Cartesian plane is calculated using the formula d = √((x2 - x1)² + (y2 - y1)²).
Vertical Distance – In this case, both points have the same x-coordinate, indicating a vertical line segment, simplifying the calculation to the difference in y-coordinates.