Answer:
M = (13, - 6 )
Step-by-step explanation:
The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.
L (- 9, 4 ) , let M = (x, y ) , then
[tex]\frac{-9+x}{2}[/tex] = 2 ( multiply both sides by 2 )
- 9 + x = 4 ( add 9 to both sides )
x = 13
and
[tex]\frac{4+y}{2}[/tex] = - 1 ( multiply both sides by 2 )
4 + y = - 2 ( subtract 4 from both sides )
y = - 6
Then
coordinates of M = (13, - 6 )
