Here is the formula for finding a partitioning point: x=x1+k(x2-x1), y=y1+k(y2-y1) k is the ratio of the segment from the beginning point to the partitioning : the whole segment. In this case, k=AP:AB=5/16 so x=1+(5/16)*(-2-1)=1/16 y=6+(5/16)(-3-6)=51/16 so the answer is (-1/16, 51/16)
Please double check my calculation by yourself.
refer to this website for the formula and how to find k:
"This ratio is called k, and is determined by writing the numerator over the sum of the numerator and the denominator of the original ratio." https://cobbk12.blackboard.com/bbcswebdav/institution/eHigh%20School/Courses/CCVA%20CCGPS%20Coordina....
