What is the distance between the points P(3, 4) and Q(7, 1)?

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Question: What is the distance between the points P(3, 4) and Q(7, 1)?

Options:

Correct Answer: 5

Solution:

Using the distance formula, d = √[(7-3)² + (1-4)²] = √[16 + 9] = √25 = 5.

What is the distance between the points P(3, 4) and Q(7, 1)?

What is the distance between the points P(3, 4) and Q(7, 1)?

Step 1: Identify the coordinates of the points P and Q. P is (3, 4) and Q is (7, 1).
Step 2: Use the distance formula, which is d = √[(x2 - x1)² + (y2 - y1)²]. Here, (x1, y1) is P(3, 4) and (x2, y2) is Q(7, 1).
Step 3: Substitute the coordinates into the formula: d = √[(7 - 3)² + (1 - 4)²].
Step 4: Calculate (7 - 3) which equals 4, and (1 - 4) which equals -3.
Step 5: Square the results: (4)² = 16 and (-3)² = 9.
Step 6: Add the squared results together: 16 + 9 = 25.
Step 7: Take the square root of the sum: √25 = 5.
Step 8: The distance between points P and Q is 5.

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