Final answer:
During the settlement period in Texas, the government encouraged family settlement by offering land grants and low land prices. The government provided cheap land and allowed colonists to purchase large parcels of land, including slaves.
Step-by-step explanation:
During the period of settlement in Texas, the state encouraged family settlement through land grants and low land prices. The government offered cheap land, sold at 10 cents an acre, which was much lower than the prices in the United States. Additionally, each male colonist could purchase a significant amount of land for themselves and their family members, including slaves.