Given:
The midpoint of line segment is (2,-1).
One end point is (-1,-3).
Let, the other endpoint be (x,y)
The midpoint of the line segment is calculated as,
[tex]\begin{gathered} M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ (x_1,y_1)=(-1,-3),(x_2,y_2)=(x,y),M=(2,-1) \\ (2,-1)=(\frac{-1+x}{2},\frac{-3+y}{2}) \\ \Rightarrow\frac{-1+x}{2}=2,\frac{-3+y}{2}=-1 \\ -1+x=4,-3+y=-2 \\ x=4+1,y=-2+3 \\ x=5,y=1 \end{gathered}[/tex]
Answer: the coordinates of the other endpoint of the line segment is (5,1)
