Line segment eg is partitioned by point f in the ratio 1: 3. point e is at e (0, 4), amd point f is at (1, 3). what are the coordinates of point g?
(-1, 5)
(2, 2)
(3, 1)
(4, 0)

(4, 0)

Step-by-step explanation:

When a point that lies one a segment, having endpoints and , divides the segment into the ratio of m : n,

Then, the coordinates of the point are,

Given,

Line segment EG is partitioned by point F in the ratio 1:3. Point E is at (0, 4), and point F is at (1, 3),

Let (x, y) be the coordinates of G,

By the above formula,

By comparing,

Hence, the coordinates of G are (4, 0),

Last option is correct.

the answer is :

(4, 0)

I don't know how to explain it to you, because you need draw the pic yourself, but I can tell you that "EG is partitioned by point F in the ratio 1:3" means the whole line EG has been partitioned by 4 part, and those 4 part's distance are equal.