Question

Given point A (2,4) and point B (8,10), find the coordinates of P so that P partitions the segment AB in the ratio 5:1.

(A) (5, 7)
(B) (7, 9)
(C) (9, 7)
(D) (7, 5)

Answer 1

To find the coordinates of P that partitions the segment AB in the ratio 5:1, use the section formula.

Step-by-step explanation:

To find the coordinates of P that partitions the segment AB in the ratio 5:1, we can use the section formula. The x-coordinate of P is calculated as (5 * x-coordinate of B + 1 * x-coordinate of A) / (5 + 1), and the y-coordinate of P is calculated as (5 * y-coordinate of B + 1 * y-coordinate of A) / (5 + 1).

Using the given coordinates of A (2,4) and B (8,10), we can substitute them into the formulas to calculate the coordinates of P. Plugging in the values, we get (7,5).