SOLUTION: Please help me solve this problem. "Find the coordinates of D if E is the midpoint of CD, for C(-3,4) and E(0,1)." I am totally lost as how to get started. Thank You!

Algebra ->  Length-and-distance -> SOLUTION: Please help me solve this problem. "Find the coordinates of D if E is the midpoint of CD, for C(-3,4) and E(0,1)." I am totally lost as how to get started. Thank You!       Log On


   



Question 156774: Please help me solve this problem.
"Find the coordinates of D if E is the midpoint of CD, for C(-3,4) and E(0,1)."
I am totally lost as how to get started. Thank You!

Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
For the line segment AB, with A(x%5B1%5D,y%5B1%5D), B(x%5B2%5D,y%5B2%5D),
its midpoint is E(x%5B3%5D,y%5B3%5D)
where
x%5B3%5D = (x%5B1%5D+x%5B2%5D)/2,
y%5B3%5D = (y%5B1%5D+y%5B2%5D)/2
*************************************************
suppose the coordinates of point D is (x, y)
As E(0, 1) is the midpoint of CD, we have
0+=+%28-3%2Bx%29%2F2
1+=+%284%2By%29%2F2
Solving the equations for x and y, we have
x = 3
y = -2
So the coordinates of point D is (3, -2)