What are the coordinates of A if P is in the middle of the line AB such that B(2,-3) and P(-3,5).

The point between the points (x1, y1) and ( x2, y2) has
the coordinates [(x1+x2)/2 , (y1+y2)/2]

Here, we are given
the points B(2,3) and P(-3, 5). P lies between A and B and we have to determine the
co-ordinates of A. Let the co-ordinates of A be (x , y)

So
we have -3 = (2 + x)/2

=> -6 = 2 +
x

=> x = -8

5 = (-3 +
y)/2

=> -3 + y =
10

=> y =
13

The required coordinates of A are (-8,
13)