Question

Find the other endpoint of a line segment with the given midpoint and one endpoint.

midpoint (11/2,17/2) and the endpoint is (2,9)

Answer 1

`A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\midpoint\ AB:\left((x_A+x_B)/(2);\ (y_A+y_B)/(2)\right)`



`A(2;\ 9);\ B(x;\ y)\\\\midpoint\ AB:\left((11)/(2);\ (17)/(2)\right)\\\\(2+x)/(2)=(11)/(2)\ and\ (9+y)/(2)=(17)/(2)\ \ \ \ \ |multiply\ both\ sides\ by\ 2\\\\2+x=11\ and\ 9+y=17\\\\x=11-2\ and\ y=17-9\\\\x=9\ and\ y=8\\\\Answer:endpoint\ (9;\ 8).`