SOLUTION: The coordinates of point T are ​(​0,2​). The midpoint of is ​(​2,-7​). Find the coordinates of point S.

Algebra ->  Length-and-distance -> SOLUTION: The coordinates of point T are ​(​0,2​). The midpoint of is ​(​2,-7​). Find the coordinates of point S.      Log On


   

Question 1205439: The coordinates of point T are ​(​0,2​). The midpoint of is ​(​2,-7​). Find the coordinates of point S.
Found 3 solutions by MathLover1, ikleyn, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


T....................M....................S

T+ ​(​0,2​)
M+ ​(​2,-7​)
S+ ​(​x,y​)

We use the midpoint formula to solve.
The x coordinate is %28x1%2Bx2%29%2F2 and y coordinate is %28y1%2By2%29%2F2.

(​2,-7%E2%80%8B) =(%280%2Bx%29%2F2,%282%2By%29%2F2)
=>The x coordinate is 2=%280%2Bx%29%2F2 =>+x=4
=>The y coordinate is -7=%282%2By%29%2F2 => 2%2By=-14 => y=-14-2 => y=-16
answer:

S+ ​(​4,-16​)

Answer by ikleyn(52932) About Me  (Show Source):
You can put this solution on YOUR website!
.
The coordinates of point T are ​(​0,2​). The midpoint of is ​(​2,-7​). Find the coordinates of point S.
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Notice that your post is,  actually,  defective and unreadable.

My advise to you is to learn /(to find out)  why and how it could happen,
in order for do not repeat it in the future.



Answer by greenestamps(13216) About Me  (Show Source):
You can put this solution on YOUR website!


From the first endpoint T(0,2) to the midpoint M(2,-7) is 2 units to the right and 9 units down. To get to the other endpoint, go another 2 units to the right and 9 units down:

(2+2,-7-9) = (4,-16)

ANSWER: (4,-16)