What is the distance between the points (1, 1) and (1, 5)?

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Question: What is the distance between the points (1, 1) and (1, 5)?

Options:

Correct Answer: 4

Solution:

Using the distance formula: d = √((1 - 1)² + (5 - 1)²) = √(0 + 16) = √16 = 4.

What is the distance between the points (1, 1) and (1, 5)?

What is the distance between the points (1, 1) and (1, 5)?

Step 1: Identify the coordinates of the two points. The first point is (1, 1) and the second point is (1, 5).
Step 2: Use the distance formula, which is d = √((x2 - x1)² + (y2 - y1)²). Here, (x1, y1) is (1, 1) and (x2, y2) is (1, 5).
Step 3: Substitute the values into the formula: d = √((1 - 1)² + (5 - 1)²).
Step 4: Calculate (1 - 1) which is 0, and (5 - 1) which is 4.
Step 5: Now, square these results: (0)² = 0 and (4)² = 16.
Step 6: Add the squared results together: 0 + 16 = 16.
Step 7: Take the square root of 16: √16 = 4.
Step 8: The distance between the points (1, 1) and (1, 5) is 4.

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