Question: What is the section formula for dividing the line segment joining points (2, 3) and (8, 7) in the ratio 1:3?

Options:

1. (5, 4)
2. (6, 5)
3. (4, 5)
4. (3, 4)

Correct Answer: (6, 5)

Solution:

Using the section formula: P(x, y) = ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)) where m=1, n=3. P = ((1*8 + 3*2)/(1+3), (1*7 + 3*3)/(1+3)) = (6, 5).