# Answer on Analytic Geometry Question for sonia

Question #15264

The coordinates of the midpoint of line segement AB are (-2,4).if the coordinates of point A are (7,10),find the coordinates of point B.

Expert's answer

Let x and y be the coordinates of point B. Then we have the following system of equations:

& (7+x)/2 = -2 (1)

(10+y)/2 =& 4 (2)

Then

(1) ==> x = -2*2 -& 7 = -11;

(2) ==> y =& 4*2 - 10 = -2;

So, the coordinates of point B are (-11,-2).

& (7+x)/2 = -2 (1)

(10+y)/2 =& 4 (2)

Then

(1) ==> x = -2*2 -& 7 = -11;

(2) ==> y =& 4*2 - 10 = -2;

So, the coordinates of point B are (-11,-2).

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