What is the midpoint of the line segment connecting the points (2, 3) and (8, 7)

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Question: What is the midpoint of the line segment connecting the points (2, 3) and (8, 7)?

Options:

Correct Answer: (5, 5)

Solution:

Midpoint formula: M = ((x1 + x2)/2, (y1 + y2)/2) = ((2 + 8)/2, (3 + 7)/2) = (5, 5).

What is the midpoint of the line segment connecting the points (2, 3) and (8, 7)?

What is the midpoint of the line segment connecting the points (2, 3) and (8, 7)?

Step 1: Identify the coordinates of the two points. The first point is (2, 3) and the second point is (8, 7).
Step 2: Write down the x-coordinates of both points. The x-coordinates are 2 and 8.
Step 3: Write down the y-coordinates of both points. The y-coordinates are 3 and 7.
Step 4: Use the midpoint formula, which is M = ((x1 + x2)/2, (y1 + y2)/2).
Step 5: Substitute the x-coordinates into the formula: M = ((2 + 8)/2, (3 + 7)/2).
Step 6: Calculate the x-coordinate of the midpoint: (2 + 8) = 10, then 10/2 = 5.
Step 7: Calculate the y-coordinate of the midpoint: (3 + 7) = 10, then 10/2 = 5.
Step 8: Combine the results to find the midpoint: M = (5, 5).

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