Question

m is the midpoint of AB . find the coordinates of the third point when

A(2,7) AND M(1,6)

whats b?

Answer 1

i know the answer is (0,5) but how do i do the work?

Answer 2

Mid point of two pts A(x1,y1) and B(x2,y2)=(x1+x2)/2and (y1+y2)/2

Answer 3

huh confuzed...

Answer 4

the coordinates of the mid point is the average of the coordinates of the points

Answer 5

\[\frac{x _{1}+x _{2}}{2}=1\]
\[\frac{2+x _{2}}{2}=1\]
\[2+x _{2}=2\]
\[x _{2}=0\]

Answer 6

Repeat the process for the y coordinate of the midpoint.

Answer 7

sorry, got ahead of myself.
A(2,7) and M(1,6)

2-1 = 1, so that means it is one unit over. A is at 2, M is at 1, so B is at 0
7-6=1, so this one is also one unit over, A is at 7, M is at 6, B is at 5.
B(0,5)

Answer 8

\[\frac{y _{1}+y _{2}}{2}=6\]
\[\frac{7+y _{2}}{2}=6\]
\[7+y _{2}=12\]
\[y _{2}=5\]

Answer 9

Mertsj's method is more proper. Especially for a more difficult problem when the answer is not given.

Answer 10

Mertsj's method is recommended for exams and HW.

Answer 11

thanks alott

Answer 12

yw