The point P divides the segment joining A(4, -6) and B(11, 8) in the ratio 2 : 5. Find the $y$-coordinate of P.

$y=\frac{2\cdot 8+5\cdot (-6)}{2+5}=\frac{16-30}{7}=\frac{-14}{7}=-2$. The value 4 swaps m and n; 2 comes from writing 30 - 16 instead of 16 - 30, a sign slip on the negative coordinate -6; 1 is the midpoint's $y$-coordinate.