1 9. Find the coordinates of P such that P partitions AB in the ratio 2:3 with A(3,16) and B(18,

Answer 1

2/5 of 15 = 6. add 6 to 3 to get 9 as the x coordinate. (9,y)

y = 2/5 of 16 + b = 2/5(16+b) where b is the y coordinate of the 2nd point

y = 32/5 + 2b/5

the point P is (9, 6.4 + .4b)

Answer 2

P is going to be 2/5 of the way between A and B.

Determine x-coordinate that is 2/5 of the way from the x-coordinate of A to the x-coordinate of B.

Since the x-coordinate of A is 3 and the x-coordinate of B is 18, 2/5 of the way would put the x-coordinate of P at 9.

Apply the same logic to the y-coordinate (which has been omitted for point B).