Answer:
Step-by-step explanation:
The coordinates of the midpoint M are the average of the coordinates of the two endpoints:
[tex]M_x = \dfrac{2+x}{2},\quad M_y = \dfrac{3+y}{2}[/tex]
Plug the known coordinates of the midpoint:
[tex]-2 = \dfrac{2+x}{2},\quad 6 = \dfrac{3+y}{2}[/tex]
Solve for x and y:
[tex]-4 = 2+x,\quad 12 = 3+y[/tex]
[tex]x=-6,\quad y = 9[/tex]
