Let ( x, y) be the coordinates of Q
Using the mid-point formula we have
x coordinate of P + x coordinate of Q
_________________________________ = x coordinate of M
2
[ 11 + x ] = 5 multiply both sides by 2
_______
2
11 + x = 10 subtract 11 from both sides
x = -1
And
y coordinate of P + y coordinate of Q = y coordinate of M
_________________________________
2
[ -10 + y ] = - 2 multiply both sides by 2
___________
2
-10 + y = -4 add 10 to both sides
y = 6
So.... Q = ( x, y ) = ( -1 , 6 )
