Find the distance between the points (3, 7) and (3, 1).

Find the distance between the points (3, 7) and (3, 1).

Step 1: Identify the coordinates of the two points. The first point is (3, 7) and the second point is (3, 1).
Step 2: Write down the distance formula: d = √((x2 - x1)² + (y2 - y1)²).
Step 3: Assign the coordinates to the formula. Here, x1 = 3, y1 = 7, x2 = 3, and y2 = 1.
Step 4: Substitute the values into the formula: d = √((3 - 3)² + (1 - 7)²).
Step 5: Calculate (3 - 3) which equals 0, and (1 - 7) 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 (3, 7) and (3, 1) 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 – When two points have the same x-coordinate, the distance is simply the absolute difference between their y-coordinates.