Answer:
The location of Point C is C=(6,4) (Option d).
Explanation:
A=(2,2)=(xa,ya)→xa=2, ya=2
G=(14,8)=(xg,yg)→xg=14, yg=8
C=(xc,yc)=?
Number of parts from A to C: 2
Number of parts from A to G: 6
xc=xa+(2/6)(xg-xa)
Simplifying the fraction dividing the numerator and denominator by 2:
xc=xa+[(2/2) / (6/2)] (xg-xa)
xc=xa+(1/3)(xg-xa)
Replacing xg by 14 and xa by 2:
xc=2+(1/3)(14-2)
xc=2+(1/3)(12)
xc=2+4
xc=6
yc=ya+(2/6)(yg-ya)
Simplifying the fraction dividing the numerator and denominator by 2:
yc=ya+[(2/2) / (6/2)] (yg-ya)
yc=ya+(1/3)(yg-ya)
Replacing yg by 8 and ya by 2:
yc=2+(1/3)(8-2)
yc=2+(1/3)(6)
yc=2+2
yc=4
Then, the location of Point C is C=(xc,yc)→C=(6,4).