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Find the midpoint of the line segment with the endpoints A and B. ​A(8​,2​); ​B(4​,6​)

Question

Find the midpoint of the line segment with the endpoints A and B.

A(8, 2); B(4, 6)

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Solution

The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the formula ((x1 + x2)/2, (y1 + y2)/2).

Here, A(8,2) means x1 = 8 and y1 = 2. B(4,6) means x2 = 4 and y2 = 6.

Substitute these values into the formula:

Midpoint = ((8 + 4)/2, (2 + 6)/2) = (12/2, 8/2) = (6, 4)

So, the midpoint of the line segment with endpoints A(8,2) and B(4,6) is (6, 4).

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