Final answer:
The State Colonization Law of 1825 led to the growth of the empresarial system in Texas by offering generous land terms and establishing empresario grants to attract American settlers.
Step-by-step explanation:
The law that led to the growth of the empresarial system in Texas was the State Colonization Law of 1825. This law was passed by Mexico in an effort to encourage settlement in Texas by offering generous land terms to immigrants, particularly from the United States. It allowed for the establishment of empresario grants, which were contracts between the Mexican government and individuals or groups who would settle and develop land in Texas. These grants played a significant role in attracting American settlers and stimulating economic growth in Texas.