What is the distance between the points (3, 4) and (7, 1)? (2021) 2021

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Question: What is the distance between the points (3, 4) and (7, 1)? (2021) 2021

Options:

Correct Answer: 5

Exam Year: 2021

Solution:

Distance = √[(7-3)² + (1-4)²] = √[4 + 9] = √13 ≈ 5.

What is the distance between the points (3, 4) and (7, 1)? (2021) 2021

What is the distance between the points (3, 4) and (7, 1)? (2021) 2021

Step 1: Identify the coordinates of the two points. The first point is (3, 4) and the second point is (7, 1).
Step 2: Use the distance formula, which is Distance = √[(x2 - x1)² + (y2 - y1)²]. Here, (x1, y1) is (3, 4) and (x2, y2) is (7, 1).
Step 3: Calculate the difference in the x-coordinates: x2 - x1 = 7 - 3 = 4.
Step 4: Calculate the difference in the y-coordinates: y2 - y1 = 1 - 4 = -3.
Step 5: Square the differences: (4)² = 16 and (-3)² = 9.
Step 6: Add the squared differences: 16 + 9 = 25.
Step 7: Take the square root of the sum: √25 = 5.
Step 8: The distance between the points (3, 4) and (7, 1) is 5.

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