It's obvious that mortgage rates drive property values, but by how much? Could be a lot. Here's a plot of home prices (blue) v. the value of an $100K 30year loan (red) (i.e. the present-value of the right to get $100k in 30 years):
It's not 1:1, but there's a strong relationship. When rates are low, money is plentiful, so the discount to "future money" is low (and therefore the present value of 100K-in-30y is high). A house bought with a mortgage is functionally a "future asset," so unsurprisingly, the present value is also relatively high (to the amount borrowed).
When rates go up, money-today becomes more valuable, whereas money-tomorrow becomes less. That's the red-line falling off a cliff. Homes are less liquid, so no reason to expect prices to follow a similar dive, but whatever is moving now, is definitely going to take a haircut. If rates stay high for a while . . . that blue line will eventually follow.