Answer:
T = (3,16)
Step-by-step explanation:
The midpoint formula is just another version of the pythagorean theorem, and it states that the midpoint between (x1,y1) and (x2,y2) is ![\left(\frac{x_1+x_2}{2}\right),\:\left(\frac{y_1+y_2}{2}\right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%5Cright%29%2C%5C%3A%5Cleft%28%5Cfrac%7By_1%2By_2%7D%7B2%7D%5Cright%29)
Substituting what we know:
endpoint S is (3,2) and endpoint T is (x2,y2)
Midpoint Z is (3,9). We will apply the formula -- backwards.
, solving with algebra we get x2 = 3
So the x-coordinate of endpoint T is 3.
, solving with algebra, we get y2 = 16.
So the y-coordinate of endpoint T is 16.
So the location of endpoint T is (3,16)