Points are just a prepayment. The only question that matters is whether you stay in the loan long enough to get your money back — and the answer is usually a specific number of months.
The lender offers you 6.75% with no points, or 6.25% if you pay two points at closing. On a $400,000 loan, two points is $8,000 in cash on the day you get the keys. It is presented as a discount. It is actually a trade, and the whole thing comes down to one calculation.
— Educational, not financial advice.