How is an amendment to the Constitution shown to be the will of the people?

When two thirds (a super majority) of the members of both the Senate and the House of Representatives shall agree by a vote that an alteration would be proper, they may state such an alteration and propose it to be considered by the people of all the States. The alteration must then be considered by the Legislature of each of the States, or by a Convention in each State (which is a meeting of persons chosen by the people for this particular purpose); and if three fourths of the States agree to the amendment, it then becomes a part of the Constitution.