Find the midpoint of the segment AB is A(2, 7) and B (3,-4)

Let the mid point of A(2,7) and B(3,-4)  be
P(x,y)

We know that  the x and y coordinates of  any
point  P(x,y) that divides  the line joining the points A and B in the ratio m : n is
given by:

Px =  (nAx
+mBx)/(m+n).

Py =
(nAy+mBy)/(m+n).

Therefore , in case of the mid point , m=
n = 1.

So  x coordinate ,Px = (Ax+Bx)/(1+1) = (2+ 5)/2 =
7/2.

y coordinate, Py = (Ay+By)/(1+1) = (7-4)/(1+1) =
3/2.

Therefore P(x,y) = (7/2, 3/2) is the mid point of
A(2,7) and B(5, -4).