Answer:
The coordinates of point T are (13 , -6)
Step-by-step explanation:
* Lets explain how to solve the problem
- If point (x , y) is the mid point of a line whose end points are
and
, then
and
* Lets solve the problem
∵ Point S is the mid point of segment RT
∴ S = (x , y)
∵ The coordinates of point S are (2 , -1)
∴ x = 2 and y = -1
∵ Point R =
∵ The coordinates of point R are (-9 , 4)
∴ and
∵ Point T =
- By using the rule of the mid-point above find the coordinates
of point T
∴
- multiply both sides by 2
∴
- Add 9 to both sides
∴
∴
- multiply both sides by 2
∴
- Subtract 4 from both sides
∴
∴ The coordinates of point T are (13 , -6)