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

In a coordinate plane, if the coordinates of points A and B are (2, 3) and (2, 7) respectively, what is the distance between points A and B?

In a coordinate plane, if the coordinates of points A and B are (2, 3) and (2, 7) respectively, what is the distance between points A and B?

Step 1: Identify the coordinates of points A and B. Point A is (2, 3) and point B is (2, 7).
Step 2: Write down the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²).
Step 3: Substitute the coordinates into the formula. Here, x1 = 2, y1 = 3, x2 = 2, and y2 = 7.
Step 4: Calculate (x2 - x1). This is (2 - 2) = 0.
Step 5: Calculate (y2 - y1). This is (7 - 3) = 4.
Step 6: Now substitute these values back into the formula: Distance = √((0)² + (4)²).
Step 7: Calculate (0)² which is 0, and (4)² which is 16.
Step 8: Add these results together: 0 + 16 = 16.
Step 9: Take the square root of 16: √16 = 4.
Step 10: Therefore, the distance between points A and B is 4 units.

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