Answer:
[tex]F(2,1)[/tex]
Step-by-step explanation:
Step 1
Find the x-coordinate of point F
we know that
The formula to calculate the x-coordinate midpoint between the point D and the point F is equal to
[tex]Mx=\frac{Dx+Fx}{2}[/tex]
substitute the values
[tex]-6=\frac{-14+Fx}{2}[/tex]
Solve for Fx
[tex]-12=-14+Fx[/tex]
[tex]Fx=2[/tex]
Step 2
Find the y-coordinate of point F
we know that
The formula to calculate the y-coordinate midpoint between the point D and the point F is equal to
[tex]My=\frac{Dy+Fy}{2}[/tex]
substitute the values
[tex]7=\frac{13+Fy}{2}[/tex]
Solve for Fy
[tex]14=13+Fy[/tex]
[tex]Fy=1[/tex]
The coordinates of the point F are [tex](2,1)[/tex]
