Houses got expensive because of usury (loans made for unproductive purposes). It destroys civilizations over time. That is why it was encoded into ancient religious traditions.
Housing, education, and cars, all typically financed via loans, all exorbitantly expensive.
US interest rates have been historically some of the lowest anywhere. And there's nations with very high interest rates that don't have the same housing cost problems...
I'm not even sure where "houses got expensive" come from. Houses certainly did not increase in price (per unit of area) in last ~80 years, inflation adjusted - they tightly fluctuate around the same point. Housing affordability is in fact 4th best in the US among all countries in the world, and it got better in the last decades (although with fluctuations, and periods when it was getting cheaper were not pleasant as it meant millions of people going under).
If anything it's the opposite. Extremely low interest rates drove housing prices higher by making it easier to afford a higher price.