P(1, -3) and Q(11, 7) are joined and the segment PQ is divided into five equal parts.
Find the coordinates of the second division point counted from P.

The second of five equal parts divides PQ in the ratio 2 : 3. $x=\frac{2\cdot 11+3\cdot 1}{5}=\frac{25}{5}=5$ and $y=\frac{2\cdot 7+3\cdot (-3)}{5}=\frac{14-9}{5}=1$, so the point is (5, 1). (3, -1) is the FIRST division point (ratio 1 : 4); (7, 3) is the third (ratio 3 : 2), reached by swapping m and n; (6, 2) is the midpoint of PQ, which is not one of the four division points.