Find the midpoint of a line segment with the given endpoints (9, -7) and (-9, 5). If necessary, round to the nearest tenth.
Question
Find the midpoint of a line segment with the given endpoints (9, -7) and (-9, 5). If necessary, round to the nearest tenth.
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, the endpoints are (9, -7) and (-9, 5). So, x1 = 9, y1 = -7, x2 = -9, and y2 = 5.
Substitute these values into the formula:
Midpoint = ((9 + -9)/2, (-7 + 5)/2) = (0/2, -2/2) = (0, -1)
So, the midpoint of the line segment with the given endpoints is (0, -1).
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