Find the point that partitions a directed segment between two points in a given ratio.
Find the midpoint of a segment
Problem
Find the midpoint of the segment with endpoints \((0,0)\) and \((6,8)\).
Big Picture
What this problem is really about
A midpoint is halfway in both coordinate directions, so the two coordinates must be averaged separately. We’ll average the endpoint x-values, average the endpoint y-values, combine those results into one point, and verify it by showing the directed displacement into the point matches the displacement out of it.
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