MHB Coordinates of Point H in GH Line

[brackenwolf]

GH is a straight line.
the coordinates of G are (-2,8)
the midpoint of GH is (5,-3)
work out the coordinates of H

 

[MarkFL]

Hello and welcome to MHB! :D

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[soroban]

GH is a straight line.
the coordinates of G are (-2,8)
the midpoint of GH is (5,-3)
work out the coordinates of H

Formula
The midpoint of (x_1,y_1) and (x_2,y_2) is: \left(\frac{x_1+x_2}{2},\,\frac{y_1+y_2}{2}\right)

We are told that: the midpoint of G(-2,8) and H(x,y) is (5,-3).

Hence, we have: .\frac{-2+x}{2} \,=\,5,\quad \frac{8+y}{2} \,=\,-3

Solve the two equations.