Final answer:
The trend in the number of representatives for slave states was influenced by the Three-Fifths Compromise and the growth of the enslaved population.
Step-by-step explanation:
The trend in the number of representatives for slave states was influenced by the Three-Fifths Compromise and the growth of the enslaved population. According to the Three-Fifths Compromise, each enslaved person counted as three-fifths of a person for purposes of congressional representation. This gave slave states more representatives in Congress. Additionally, the increase in the enslaved population in the South, particularly during the cotton boom in the mid-1830s, led to an increase in the number of representatives for slave states.