Question

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

Answer 1

Answer:

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

Step-by-step explanation:

The formula of a midpoint of AB

$A(x_A,\ y_A),\ B(x_B,\ y_B)\\\\M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)$

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

Substitute:

$M_{XY}\left(\dfrac{2+(-9)}{2};\ \dfrac{-1+4}{2}\right)\\\\M_{XY}\left(\dfrac{-7}{2};\ \dfrac{3}{2}\right)$