# maths

posted by .

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

• maths -

(7,4)

## Similar Questions

1. ### Graph problems!!!

Ok. so i'm supposed to find the coordinates of a line using the slope intercept method but i don't understand it!!! can some one PLEEAASE help me?
2. ### maths - geometry

In a space with an orthonormal coordinate system consider the plane; &: 4x-3y=12 (a)(i)Find the coordinates of the points of intersection of the plane & with the coordinates axes (=axes intersections?
3. ### geometry

the mid point of ef is (-3,7). the coordinates of e are (-3,10. find the coordinates of f.
4. ### maths

A line intersects the y axis and x axis at the point P and Q respectively.If (2,-5) is the mid point of PQ,then the coordinates of P and Q are respecively
5. ### Geometry

line segment ab is the diameter of circle O whose center has coordinates (6,8) . what are the coordinates of point b if the coordinates of point a are (4,2)
6. ### Geometry

line segment ab is the diameter of circle O whose center has coordinates (6,8) . what are the coordinates of point b if the coordinates of point a are (4,2)