Why do you think I or anyone should be obliged to answer your question? You have Google, use it.
Delegates to state conventions can either be voted by popular election or can be appointed by state legislatures.
It says clearly that state legislatures shall apply for a convention to propose amendments. Obviously state legislatures control the game in the amendments phase.
When it comes to the ratification phase, Congress can select either state legislatures or state conventions. The reasoning here is that some issues have popular grassroots passions and would be more suited for state conventions. For the conventions path, delegates could be chosen by special election.
The bottom line is that conservatives control a large majority of the statehouses. In fact, the 2010 tsunami of Tea Party grassroots swept statehouses far more than Congress.
Do a little research on the net and you will find out how delegates are selected or elected, how statehouses are organized to apply etc.
My point in asking these questions is to demonstrate that there are no answers. Nothing in the process is entirely agreed upon or set in stone. If it were to happen,the entire procedure would be debated by the power brokers of the two parties in the federal government and each individual state and then argued in court before partial judges. Those who would determine how it would move forward are the same people who are currently screwing us at every turn and interpreting the Constitution to mean whatever fits their agenda.
The Constitution itself is an incredible document and serves as a recipe for liberty. The problem is that the vast majority of diners don't care if they are served liberty or bulls**t.