Which of the following commands displays the EtherChannel load-balancing algorithm?

The command that displays the EtherChannel load-balancing algorithm is indeed associated with the configuration and status of the EtherChannel, and using "show etherchannel load-balance" directly reveals the load-balancing method currently in use on the device. This command provides detailed insights into how traffic is being distributed across the member interfaces of the EtherChannel, helping network administrators monitor and optimize network performance.

Understanding the load-balancing algorithm is crucial because it determines how traffic is evenly distributed among the links in an EtherChannel, which can prevent any single link from becoming a bottleneck. This is particularly important in high-traffic environments where multiple data flows are present. By regularly checking this configuration, administrators can ensure that the chosen load-balancing method aligns with their network topology and traffic patterns, thereby enhancing throughput and efficiency.

Other commands mentioned do not serve the purpose of displaying the load-balancing algorithm specifically. Options that refer to interface types, port status, or spanning-tree information focus on different aspects of network configuration and do not provide the necessary information about load balancing in EtherChannel setups.