Midpoint = (3,-11)
Enpoint 1 = (-11,9) = (x1,y1)
Endpoint 2 = (x2,y2)
To find the missing endpoint we have to apply the midpoint formula:
[tex]m=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]So, for mx:
Midpoint x=3 = (x1+x2)/2 =
3= (-11+x2)/2
Solve for x2
3(2) = -11+x2
6= -11+x2
6+11=x2
17=x2
For my:
Midpoint y = -11 = (y1+y2)/2
-11= (9+y2)/2
Solve for y2
-11(2) = 9+y2
-22 = 9+y2
-22-9 =y2
-31 = y2
Endpoint 2 = (17,-31)