Question

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?

A. (−1, 5)
B. (2, 2)
C. (3, 1)
D. (4, 0)

Answer 1

i think its D?

Answer 2

yeah that's correct

Answer 3

ok, thank you :)

but i kinda felt like it was C...

Answer 4

if you sketch out the situation

Answer 5

1:3 ratio of EF to FG means EF is 1/4 of the whole segment

in the horizontal direction, that means F must be 1/4 of the way in between the x-coordinates of the endpoints (0 and 4)

similar logic, in the vertical direction, F must be 1/4 of the way in between the y-coordinates, starting from the top

the only G coordinate that satisfies both conditions is (4,0)

Answer 6

1/4 of the way in both directions

Answer 7

ah ok, i understand now... i thought the ratio 1:3 was 1/3

Answer 8

point F partitions the whole line into 1:3 which means EF:FG = 1:3. EF is 1/3 of FG but 1/4 of the whole segment EG which is more useful to the calculation.

Answer 9

understood, tysm!