The endpoints of the directed line segment AB are A(−2, −3) and B(10, 6). Find the coordinates of point P along AB¯¯¯¯¯¯¯¯ so that the ratio of AP to PB is 2 to 1.

Question

I have no idea what to do for this could anyone help me out please and if you have the answer can you please make it specific

Answer 1

x-coordinate of P is 2/3 (10--2) + -2 = 6

y-coordinate of P is 2/3 (6--3) + -3 = 3