If a line segment contains one endpoint at (2,3) and has a midpoint of (-2,6) what is the second endpoint of the line segment

Question

asked Oct 2, 2020 88.7k views

1 Answer

Pwan · Answer 1 · 2020-10-08T08:56:15+0000

Answer:

Explanation:

The coordinates of the midpoint M are the average of the coordinates of the two endpoints:

$M_x = (2+x)/(2),\quad M_y = (3+y)/(2)$

Plug the known coordinates of the midpoint:

$-2 = (2+x)/(2),\quad 6 = (3+y)/(2)$

Solve for x and y:

$-4 = 2+x,\quad 12 = 3+y$

$x=-6,\quad y = 9$