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)`

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=(x_1+x_2)/(2)`

and
`y=(y_1+y_2)/(2)`

So,
`-2=(g+(-2))/(2)`

`-4=g-2`

`g=-2`

Also

`3=(4+h)/(2)`

`6=4+h`

`h=2`

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