Find the midpoint of the segment with the following endpoints.left bracket, 2, comma, 1, right bracket, and , left bracket, 8, comma, minus, 5, right bracket(2,1) and (8,−5)
Question
Find the midpoint of the segment with the following endpoints.left bracket, 2, comma, 1, right bracket, and , left bracket, 8, comma, minus, 5, right bracket(2,1) and (8,−5)
Solution
To find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2), you can use the midpoint formula which is:
Midpoint = ((x1 + x2)/2 , (y1 + y2)/2)
Given the points (2,1) and (8,-5), you can substitute these into the formula:
Midpoint = ((2 + 8)/2 , (1 + -5)/2)
This simplifies to:
Midpoint = (10/2 , -4/2)
So, the midpoint of the line segment with endpoints (2,1) and (8,-5) is (5, -2).
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