Monday, July 23, 2012

Given the points A(-2,5) and B(4,7)determine the middle point of AB.

We'll begin by recalling the midpoint
formula:


M = (xM ; yM)


xM =
(x1 + x2)/2


yM =
(y1+y2)/2


x1,x2,y1,y2 are the coordinates of the given
points A and B. Since the coordinates are added, it doesn't matter which point is the
first one, whose coordinates are x1 and y1, and which point is the second
one.


We'll identify x1 = -2, x2 = 4, y1 = 5 and y2 =
7


Now, we'll calculate the coordinates of the
midpoint:


xM = (-2+4)/2


xM =
1


yM = (5+7)/2


yM =
6


The coordinates of the midpoint M of the
segment AB are: M(1 ; 6).

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