Answer:
(20, 9)
Explanation:
The coordinates of one of the endpoints of the line is: T(2,4)
The midpoint of line segment TB = (11,6.5)
Let the coordinates of B be (x,y).
[tex]\text{Midpoint(11,6.5)}=\mleft(\frac{2+x}{2},\frac{4+y}{2}\mright)[/tex]
We then solve for x and y.
[tex]\begin{gathered} 11=\frac{2+x}{2} \\ x+2=22 \\ x=22-2 \\ x=20 \end{gathered}[/tex]
Similarly
[tex]\begin{gathered} 6.5=\frac{4+y}{2} \\ y+4=13 \\ y=13-4 \\ y=9 \end{gathered}[/tex]
The coordinates of the other point B is (20, 9)
