Answer: The required co-ordinates of point C are (9, -3.5).
Step-by-step explanation: We are given the points A(3, -5) and B(19, -1).
We are to find the co-ordinates of point C that sit 3/8 of the way along AB, where the point P is close to A than to B.
According to the given information, we have
So, point C divides the line segment AB in the ratio 3 : 5.
We know that
if a point Q divides a line segment joining the points S(a,b) and T(c,d), in the ratio m : n, then the co-ordinates of Q are
Therefore, the co-ordinates of point C are
Thus, the required co-ordinates of point C are (9, -3.5).