Question

find the coordinates of missing endpoint given that N is the midpoint of MO.

N(1,-2) O(-3,-8)

Answer 1

+4 +4
<......-3.........1...........( )........>
o n m
<......-8........-2...........( )........>
+6 +6

Answer 2

M(5,4) if i see it right

Answer 3

*----*----*
M N O
to find the midpoint of MO we do
\[(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\]
but we are given the midpoint is (1,-2)
so we have
\[(\frac{x_1+x_2}{2}=1, \frac{y_1+y_2}{2}=-2)\]
but we also know one of the endpoints \[(x_1,y_1)\]=(-3,-8)
so we have
\[(\frac{-3+x_2}{2}=1, \frac{-8+y_2}{2}=-2)\]
now solve for both of these equations and you will get your other missing endpoint

Answer 4

Count how many units you go down from O and how many units you go Left from O to get to N.

Do that again, and you'll be at the point M. (see pic)

Answer 5

you seem to have gotten lost in your latex lol

Answer 6

yeah, and you complicated it all ways to sunday ;)

Answer 7

(-3+x=2, -8+y=-4)
(x=5,y=4)
(5,4) is the other endpoint
gj amistre

Answer 8

i like my way :)

Answer 9

is the answer (-1,3)

Answer 10

(5,4) is the answer