Answer:[tex](g,h)=(-2,2)[/tex]
Step-by-step explanation:
Given
Midpoint is [tex](-2,3)[/tex]
Endpoints are [tex]G(g,4)[/tex] and [tex]H(-2,h)[/tex]
Mid point of any two point is given by
[tex]x=\frac{x_1+x_2}{2}[/tex]
and [tex]y=\frac{y_1+y_2}{2}[/tex]
So,[tex]-2=\frac{g+(-2)}{2}[/tex]
[tex]-4=g-2[/tex]
[tex]g=-2[/tex]
Also
[tex]3=\frac{4+h}{2}[/tex]
[tex]6=4+h[/tex]
[tex]h=2[/tex]
Therefore [tex](g,h)=(-2,2)[/tex]
