What is the length of the line segment between the points (3, 4) and (7, 1)? (20

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Question: What is the length of the line segment between the points (3, 4) and (7, 1)? (2023)

Options:

Correct Answer: 5

Exam Year: 2023

Solution:

Using the distance formula, length = sqrt((7-3)^2 + (1-4)^2) = sqrt(16 + 9) = 5.

What is the length of the line segment between the points (3, 4) and (7, 1)? (2023)

What is the length of the line segment between the points (3, 4) and (7, 1)? (2023)

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: length = sqrt((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 together: 16 + 9 = 25.
Step 7: Take the square root of the sum: sqrt(25) = 5.
Step 8: The length of the line segment between the points (3, 4) and (7, 1) is 5.

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