Find the coordinate of the point m(0,a) if m is midpoint between A(3,2) and B(b,-4) Solution The coordinates of the mid point M of the points (x1, y1) and (x2, y2) is given by the formula: Mx = (x1+x2)/2 My = (y1+y2)/2. Therefore the mid point of A (3, 2) and B(b ,-4) is given by: 0 = (Ax+By)/2 = (3+b)/2 ..(1)and a = (Ay+By)/2 = (2-4)/2....(2) So from the first of the equation 3+b = 0 . b= -3. From the secod equation we get: a = (2-4)/2 = -2. Therefore a = -2 and b = -3..