Question

A(3,-2) B (5,1); 2/3 of the way from A to B.... how would you do this problem?

Answer 1

Let's do the x part first.
From 3 to 5 is 2 to the right
2/3 of 2 is 4/3 or 1 1/3
3+1 1/3 is 4 1/3 so that is the x coordinate of the point.
Now you do the y part in the same way.