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 a
re the coordinates of G? Write your answers as integers or decimals.
1 answer:
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)
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