Find the coordinates of p so that p partitions the segment AB in the ratio 6:2 if A (-4,12) and B (9,-4)

Question

A (13.75, -24)

B. (-16,13)

C. (9.75,-12)

D. (5,75,0)

Answer 1

6+2=8

P is 6/8 of the way from A to B.

As we move along AB from A to B, x increases by 13 and y decreases by 16.

x-coordinate of P: -4 + (6/8)(13) = 5.75

y-coordinate of P: 12 - (6/8)(16) = 0

So, P = (5.75, 0)