Question

Point M is the midpoint of line PQ. The coordinates of P and M are:

P: 5, (-2)
M: 11, (-10)

Given this info, what are the coordinates of Q?

I'm having trouble understanding what I'm supposed to do with this problem. Anyone willing to explain it to me would be very appreciated.

Answer 1

Q is just as far from M as M is from P. That is,
Q-M = M-P
Q = M + (M-P) = (11,-10) + (6,-8) = (17,-18)

Answer 2

Thank you oobleck.

Answer 3

P(5, -2), M(11, -10), Q(x, y).

x-5 = 2(11-5)
X = 17.

y+2 = 2(-10+2)
Y = -18.