Find the midpoint of a line segment with the given endpoints (-5, 1) and (5, 10). If necessary, round to the nearest tenth.
Question
Find the midpoint of a line segment with the given endpoints (-5, 1) and (5, 10). 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 (-5, 1) and (5, 10). So, x1 = -5, y1 = 1, x2 = 5, and y2 = 10.
Substitute these values into the formula:
Midpoint = ((-5 + 5)/2, (1 + 10)/2) = (0/2, 11/2) = (0, 5.5)
So, the midpoint of the line segment with the given endpoints is (0, 5.5).
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