Question

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

Answer 1

Answer:

Step-by-step explanation:

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

$M_x = \dfrac{2+x}{2},\quad M_y = \dfrac{3+y}{2}$

Plug the known coordinates of the midpoint:

$-2 = \dfrac{2+x}{2},\quad 6 = \dfrac{3+y}{2}$

Solve for x and y:

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

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