Alocal government has plans to build a new transit station on a site where several homes are currently located. the residents do not want to move. how does the fifth amendment affect this case?

If a local government has plans to build a new transit station on a site where several homes are currently located and the residents would not want to move, then the fifth amendment can be used where it says that the government could take the land but  the government should pay a fair enough price to the owners of the land. This part of the Fifth Amendment is called the Taking Clause where it stresses out the a private property should be not be taken for public without a just compensation. The people who made this clause are land property owners who has a certain degree of mistrust of the government power.