Question

M is midpoint of xy find x m(2,-1) and y(-9,4)

Answer 1

`\large\boxed{M_(XY)\left(-(7)/(2);\ (3)/(2)\right)\to M_(XY)(-3.5,\ 1.5)}`

Explanation:

The formula of a midpoint of AB

`A(x_A,\ y_A),\ B(x_B,\ y_B)\\\\M_(AB)\left((x_A+x_B)/(2);\ (y_A+y_B)/(2)\right)`

We have the points X(2, -1) and Y(-9, 4).

Substitute:

`M_(XY)\left((2+(-9))/(2);\ (-1+4)/(2)\right)\\\\M_(XY)\left((-7)/(2);\ (3)/(2)\right)`