The other endpoint of the line segment with the given endpoint (4,0) and midpoint (-2,8) is (-8,16)
Let their be a line segment with two points A and B with a midpoint M.
According to the question the coordinates of the points are
A(4,0) and M(-2,8).
The midpoint formula is given as below,
(xm , ym ) = [(x1+x2)/2 , (y1+y2)/2] (1)
Where, (xm , ym) = are the coordinates of the mid point
(x1, y1) = are the coordinates of one end point
(x2 , y2) = are the coordinates of the other end points.
Now putting the required value in equation (1) we get,
(-2, 8) = [(4+x2)/2 , (0+y2)/2]
Thus, -2 = (4+x2)/2 and 8 = y2/2
-4 = 4+x2 and 16=y2
x2 = -8 and y2 = 16
Hence the coordinates of the other endpoint is (-8,16)
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