posted by Jen .
the mid-point of the line FG is (6,10). if the coordinates of G is (8,14) find the coordinates of F.
There are a number of ways to solve this but I think the simplest is to use the definiton of midpoint.
We know mdpt(FG) = 1/2(F+G) where FG is the segement and F,G denote the points, i.e. coordinates. Thus (6,10) = 1/2(x+8,y+14)
Now solve for each coordinate. Let us know if you need further assistance, but please show your work too.
I don't know