1) (9,-3.5)
2) (17,-1.5)
Step-by-step explanation:
1)
In order to solve this problem, we have to divide the segment into 8 equal parts, and find the point that sits at 3/8 of the whole segment.
The end points of the segment in this problem are:

and

First of all, we find the distance between the x-coordinates and between the y-coordinates:

Then we divide the distances by 8 parts:

Now we find the coordinates of point C, which sits 3/8 of the way along the segment, by using the equations:

2)
Here instead we want to find the coordinates of point C such that
(1)
The coordinates of the endpoints of the segment AB are:

and

We call the coordinates of point C as:

To satisfy eq.(1) for the x-coordinate, we have:

Substittuing the values of the x-coordinates of A and B we find:

And similarly for the y-coordinate we have:
