Question

Line segment AB has endpoints A(1, 4) and B(4, 2). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:4.

Answer 1

the correct answer is d

Answer 2

For this case we have the following expression for AB:
((x2-x1), (y2-y1))
Substituting values:
((4-1), (2-4))
(3, -2)
For AX we have:
(3 * (1/4), -2 * (1/4))
Rewriting:
(3/4, -1/2)
Then, the coordinates of point x are:
((1 + 3/4), (4 - 1/2))
((1 + 3/4), (4 - 1/2))
(7/4, 7/2)
Answer:
the coordinates of the point that divides the line segment directed from A to B in the ratio of 1: 4 is:
(7/4, 7/2)