1. given points , −5) and , −1), find the coordinates of point that sit 3/8 of the way along ab ,close to a than to b.

 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).