Answer: a) the prospect of owning their own homes.
Explanation: African-Americans migrated north during the Great Migration for the prospect of being able to vote, being able to educate their children, escaping the threat of lynching, the prospect of higher wages.
Others includes segregation, an increase in the spread of racist ideology,and lack of social and economic opportunities.
All these were reasons for the migration EXCEPT the prospect of owning their own homes.