SOLUTION: Please help me : The midpoint AB is (-1,5) and the coordinates of point A are (-3,2). What are the coordinates of point B?

Algebra ->  Length-and-distance -> SOLUTION: Please help me : The midpoint AB is (-1,5) and the coordinates of point A are (-3,2). What are the coordinates of point B?      Log On


   



Question 702931: Please help me :
The midpoint AB is (-1,5) and the coordinates of point A are (-3,2). What are the coordinates of point B?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the endpoints ( -3,2 ), and ( x1, y1 )
The mid-point is ( -1,5 )
Treat the x and y coordinates separately
+%28+-3+%2B+x%5B1%5D+%29+%2F+2+=+-1+
+-3+%2B+x%5B1%5D+=+-2+
+x%5B1%5D+=+1+
and
+%28+2+%2B+y%5B1%5D+%29+%2F+2+=+5+
+2+%2B+y%5B1%5D+=+10+
+y%5B1%5D+=+8+
The coordinates of B are ( 1,8 )
---------------------------
check:
+%28+1+%2B%28-3%29+%29+%2F+2+=+-1+
and
+%28+8+%2B+2+%29+%2F+2+=+5+
The midpoint is ( -1,5 )
OK