Question

1. The midpoint of GH is (-2,3), and its endpoints are G (g,4) and H (-2,h). What are the values of g and h

Answer 1

Answer:$(g,h)=(-2,2)$

Step-by-step explanation:

Given

Midpoint is $(-2,3)$

Endpoints are $G(g,4)$ and $H(-2,h)$

Mid point of any two point is given by

$x=\frac{x_1+x_2}{2}$

and $y=\frac{y_1+y_2}{2}$

So,$-2=\frac{g+(-2)}{2}$

$-4=g-2$

$g=-2$

Also

$3=\frac{4+h}{2}$

$6=4+h$

$h=2$

Therefore $(g,h)=(-2,2)$