Line segment EG is partitioned by point F in the ratio 1:3. Point E is at E (0, 4), and point F is at (1, 3). What are the coordinates of point G? (−1, 5) (2, 2) (3, 1) (4, 0)

so the coordinates of G are (2,2)

Step-by-step explanation:

according to the given EG is partitioned by point f we can find the coordinates of G by mid-point formula

F(x,y)=

putting values of the given coordinates

(1,3)=

comparing the x and y coordinates separately

1=               and          3=

1×2=0+x2            and      3×2=4+y2

2=x2                       and        6=4+y2

x2=2                          and          6-4=y2

x2 = 2                    and              y2=2

so the coordinates of G are (2,2)

i hope this will help you:)