SOLUTION: The coordinates of the point T are given. The midpoint of segment ST has coordinates (5.-8). Find the coordinates of point S. points (10,18)

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Question 212001: The coordinates of the point T are given. The midpoint of segment ST has coordinates (5.-8). Find the coordinates of point S.
points (10,18)
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
The coordinates of the point T are given as (10,18). The midpoint of segment ST has coordinates (5.-8). Find the coordinates of point S. 

Use the midpoint formula:

The midpoint between points (x1,y1)
and (x2,y2), is the point:

M = (, ),

Let the coordinates of S be (x2,y2)

We are given

M = (5,-8)

Therefore

 and )

And we are given pt. T = (x1,y1) = (10,18)

Substituting:

 and )

Multiply both sides of both equations by 2 to
clear of fractions:

 and )

 and 

So the desired point S is (0,-34)

Edwin
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