Question

Point A is located at (3, 6) and point B is located at (10, −2) .

What are the coordinates of the point that partitions the directed line segment AB¯¯¯¯¯ in a 1:3 ratio?

Answer 1

The coordinates of the point that partitions the directed line segment AB in a 1:3 ratio are (4, 4).

Step-by-step explanation:

To find the point that partitions the directed line segment AB in a 1:3 ratio, we can use the concept of section formula. The coordinates of the point dividing the segment AB in the ratio 1:3 are given by:

x = (3 * 3 + 10 * 1) / (3 + 1) = 4

y = (6 * 3 + (-2) * 1) / (3 + 1) = 4

Therefore, the coordinates of the point that partitions the directed line segment AB in a 1:3 ratio are (4, 4).