Given the vertices of triangle ABC, A(1,2), B(2,3), C(2,-5), determine the median AE?

The median AE is the line joining the point A(1,2) to the
point between the points B(2, 3) and C(2 ,
-5).

Note: I am providing the
equation of the median AE which I believe is what you
want.

The coordinates of the pint between two points (x1,
y1) and (x2, y2) is [( x1 + x2)/2 , (y1 + y2)/2]

The mid
point E between B and C is [( 2+2)/2, (3 - 5)/2] = (2 ,
-1)

The equation of the line joining A and E
is:

y - 2 = [( -1 - 2)/(2 - 1)]( x -
1)

=> y - 2 = -3*(x -
1)

=> y - 2 = -3x +
3

=> 3x + y - 5 =
0

The median AE is 3x + y - 5 =
0