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M(−6, 7) is the midpoint of DF¯¯¯¯¯ . The coordinates of point D are (−14, 13) .

What are the coordinates of point F?

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Respuesta :

The midpoint is the average of the endpoint coords.
If (x,y) is F, then -6=(-14+x)/2 and 7=(13+y)/2.
-14+x=-12 so x=2, and 14=13+y, so y=1 and F is (2,1).
so the answer is (2,1)
the distance between the y coordinates  of points D and M =   13-7 = 6 units
 and distance between x coordinates = 14-6 = 8

so x coordinate of the point F =  -6 + 8 = 2
and y  ................................F =  7 - 6 = 1

coordinates of point F  are (2,1)