A line goes through the point (1, 2) and the point (j, k). If j and k are whole numbers between 1 and 10, what values of j and k give the line the smallest positive slope?
The slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by
\[m = \frac{y_2-y_1}{x_2-x_1} \]
In this case, the two given points are $(1,2)$ and $(j,k)$. Thus, the slope of the line is
\[m = \frac{k-2}{j-1}\]
Since we want to find the smallest positive slope, we need numerators to be as small as possible while the denominator is as large as possible.
The numerators, $k-2$, can be made $1$, thus $k=3$. The denominators, $j-1$, can be made $10$, thus $j=11$.
Thus, the answer is $\boxed{(11,3)}$.