Final answer:
The growth of the English colonies' population in the 1750s can be attributed to economic opportunities, the forced migration of enslaved individuals, and the search for religious freedom and self-governance.
Therefore, the correct options are: economic opportunities, forced into slavery and religious freedom.
Step-by-step explanation:
By the 1750s, the population in the English colonies had grown tremendously due to a variety of factors. These include economic opportunities, such as the desire to own land and earn a living, which attracted many settlers.
Another significant reason was the forced migration of individuals into slavery, as the demand for labor in the colonies, especially on plantations, was high. People were also motivated by the potential for religious freedom offered by the colonies, as well as the ability for more self-government compared to other European colonies.
All these factors combined to create an environment that led many to leave their homelands and settle in the New World.