Determining the epicenter of an earthquake is important because it helps scientists and authorities know where the earthquake originated, which is critical for safety and response. By identifying the epicenter, emergency services can prioritize rescue and relief efforts in the areas most affected. It also helps in assessing the magnitude and potential damage, improving building codes, and preparing communities for future earthquakes. Moreover, studying epicenters allows scientists to understand fault lines and seismic patterns, which is essential for predicting and minimizing the impact of earthquakes.