Question

Point M is the midpoint of PO. The coordinates of P and M, are given below.

plz help

Answer 1

The formula of a midpoint of PQ:

`M\left((x_P+x_Q)/(2),\ (y_P+y_Q)/(2)\right)`

We have M(5, -2) and P(11, -10). Substitute:

`x_M=(x_P+x_Q)/(2),\ x_M=5,\ x_P=11:\\\\(11+x_Q)/(2)=5\qquad|\cdot2\\\\11+x_Q=10\qquad|-11\\\\x_Q=-1\\\\y_M=(y_P+y_Q)/(2),\ y_M=-2,\ y_P=-10\\\\(-10+y_Q)/(2)=-2\qquad|\cdot2\\\\-10+y_Q=-4\qquad|+10\\\\y_Q=6`

Answer: Q(-1, 6)