Could the depreciation of house price reduce my tax if I sold my house at lower price than I bought?

Answer 1

And if it was a rental property, the recapture of depreciation allowed or allowable will actually increase the gain on sale and therefore the capital gains tax.

Answer 2

I assume you are talking about your residence, not property you own and rent out. If that's the case, then a loss on the property isn't deductible.