The output load line is the relationship between the collector current \(I_C\) and collector-emitter voltage \(V_{CE}\) in a transistor amplifier. The slope of this line is determined by the load resistance, which is the resistance in the collector, i.e., \(R_C\). Therefore, the slope is \(-\frac{1}{R_C}\), indicating the inverse relationship between the collector voltage and current.
Conclusion:
The correct slope of the load line is \(-\frac{1}{R_C}\).