Question

The coordinates of the endpoints of EF are E( – 9,11) and F(1,6). Point G is on EF and divides it such that EG:FG is 2:3. What are the coordinates of G? Write your answers as integers or decimals.

Answer 1

Answer:

(-3,8)

Step-by-step explanation:

Given the coordinates of the endpoints of EF are E( – 9,11) and F(1,6). Point G is on EF and divides it such that EG:FG is 2:3.

Coordinate of G is expressed as shown;

X = ax1+bx2/a+b

X = -9(2)+3(1)/2+3

X = -18+3/5

X = -15/5

X = -3

Similarly;

Y = ay1+by2/a+b

Y = 2(11)+6(3)/2+3

Y = 22+18/5

Y = 40/5

Y = 8

Hence the coordinate of point G is at (-3,8)