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1.2     ! bowersj2    1: \label{Numerical_Response_Advanced_Example}
1.1       bowersj2    2: 
                      3: %
                      4: \begin{figure}
                      5: \begin{center}\includegraphics[  width=0.80\paperwidth]{numericalResponseSlopeProblem}\end{center}
                      6: 
                      7: 
                      8: \caption{Slope Problem Parameters\label{Slope Problem Parameters Figure}}
                      9: \end{figure}
                     10:  Try filling out your problem with the parameters shown in the ``Slope
                     11:  Problem Parameters'' figure. 
                     12: 
                     13: When creating randomized problems, you want to make sure that the problems
                     14: always have an answer. Consider what might happen if I had chosen the two
                     15: slopes \emph{both} with the expression \texttt{\&random(-1.0,1.0,.2)}. One
                     16: out of ten students would get a problem where both slopes were equal, which
                     17: has either no solution (for unequal y-intercepts) or an infinite number of
                     18: solutions (for equal slopes and y-intercepts). Both of these cause a division-by-zero
                     19: error on the division that computes the answer. There are many ways to avoid
                     20: this, one of the easiest of which is picking one slope negative and one positive.
                     21: This same problem can show up in many other places, too, so be careful.