Find the coordinates of T.

The correct answer is: (-4, 4).

• Step by step explanation:

○        Given:
The midpoint of the line is S (1, 6).
one endpoint is R ( 6, 8 ).
○        Step 1:
○        Let the endpoint T be (x₂, y₂)
○        As we know, the midpoint divides the line segment in two equal parts, and midpoint of line are given by 
So,
Coordinates of Midpoint of  M be:

( 6 + x₂ ) = 1  2 ,  ( 8 + y₂ ) = 6  2

6 + x₂ = 2, 8 + y₂ = 12

x₂ = 2 - 6, y₂ = 12 - 8

x₂ = -4 ,  y₂ = 4

(x₂, y₂)  = (-4, 4)

• Final Answer:

Hence, the coordinates of the endpoint T is (-4, 4).