Final answer:
Quote B from the Declaration of Independence best supports the idea that people have a duty to change a government that threatens their fundamental rights, which is at the core of the American rationale for independence. Option B.
Step-by-step explanation:
The question is asking for a quote that best supports the idea that people have the right to alter or abolish a government that becomes destructive of certain fundamental ends, such as the protection of unalienable Rights including Life, Liberty, and the pursuit of Happiness.
The most appropriate quote that encapsulates this is B. "But when a long train of abuses and usurpations, pursuing invariably the same object evinces a design to reduce them under absolute despotism, it is their duty to throw off such government, and to provide new guards for their future security."
This quote comes directly from the Declaration of Independence and clearly conveys the justifications the American colonies used for seeking independence from Great Britain.
So option B is correct.