-- The 'x' coordinate of the midpoint is the average of
the 'x'-coordinates of the end-points.
-- The 'y' coordinate of the midpoint is the average of
the 'y'-coordinates of the end-points.
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Mid Point Definition: The point halfway between the endpoints of a line segment is called the midpoint. A midpoint divides a line segment into two equal parts. Mid Point Formula: MidPoint where (x1, y1) (x2, y2) be the end points of a line segment. MidPoint Diagram Mid Point Example: Find the coordinates of the midpoint of the line joining (-1, -3), (-5, -7). x1 = -1, y1 = -3 and x2 = -5, y2 = -7 Substitute in the formula as : The above example will clearly illustrates how to calculate the Coordinates of MidPoint manually.
The midpoint is going to have an x and y value halfway between those of the two endpoints. The midpoint has an x value 6 higher than the first endpoint and a y value 4 lower. Just continue this pattern to get the other endpoint. (-2+6, 6-4)=(4, 2) The midpoint formula: [(x1 + x2)/2, (y1 + y2)/2] By substituting the given values into the formula we have: (x1 + -8)/2 = -2 and (y1 + 10)/2 = 6 x1 - 8 = -4 and y1 + 10 = 12 x1 -8 + 8 = -4 + 8 and y1 + 10 - 10 = 12 - 10 x1 = 4 and y1 = 2 Thus, the other endpoint is (4, 2).
The answer is linear extrapolation.
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