if A and B are (-2,-2) and (2,-4) respectively. find the coordinates of p such that AP=3/7 AB and p lies on the line segment AB

the coordinates of the points are (-2/7,-20/7)

directly use section formula.

given that ap/ab=-3/7 that is p divides ab in the ratio 3;7 externally, so the answer is (-5,-1/2)