geometry question

Question

Find the coordinates of point PP​ on the directed line segment ABAB​ with A(-4,8)A(−4,8)​ and B(-10,-6)B(−10,−6)​ such that the ratio of APAP​ to PBPB​ is 22​ to 33​​. 

Answer 1

P(-6.4, 2.4)

take 2/5 of diferences in x coordinates = 2/5 times -4+10= 2/5 of 6= 12/5 =2.4

-4-2.4=-6.4

do the same with y coordinates

2/5 times 14= 28/5= 5.6

8-5.6= 2.4