Final answer:
The name of the law that prohibits John Doe Mortgage Lending company from refusing to make loans in a minority neighborhood is the Fair Housing Act.
Step-by-step explanation:
The law that prohibits John Doe Mortgage Lending company from refusing to make loans in a minority neighborhood is the Fair Housing Act. This law was passed in 1968 and is aimed at preventing housing discrimination based on race, color, religion, sex, and national origin. It prohibits lenders from denying loans or imposing discriminatory terms based on the location of a property or the racial composition of a neighborhood.