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)

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