Final answer:
The government can acquire the homeowners' land but must provide fair compensation according to the Fifth Amendment.
Step-by-step explanation:
The Fifth Amendment of the United States Constitution affects this case by stating that the government can take the land, as long as they provide the owners with just compensation. In this case, the local government has the power to acquire the land for the new transit station, but they must pay a fair price to the homeowners whose properties will be affected.
Learn more about The Fifth Amendment and property rights