which situation was affected depending on whether a state was admitted was a free state of a slave state?

The balance of power in the US Congress was affected depending on whether a state was admitted as a free state or a slave state. The number of representatives in the House of Representatives and the number of votes in the Electoral College were both determined by the number of states in the Union, and whether they were free or slave states. This meant that the admission of a new state could shift the balance of power in Congress.