If Carlos must place all the books on shelves, he may possibly use 10 shelves if he is to place 4 books per shelf, or 5 shelves if he is to place 8 books on each.
Given :
A graph .
To Find :
A point C that divides the segment into the ratio AC:AB= 3/4 .
Solution :
From the graph we can see that point A and B are ( 1 , -2 ) and ( 5 , 6 ) respectively .
Now , we know point which divide a line segment with end point
and
in m : n is :

Putting all given values we get :

Therefore , point C is
.
Hence , this is the required solution .
2 because they make a line
3 because they add to 180
5 they are side by side touching