Will this graphics card work with this motherboard?

Yes, of course it will work and no, being in a PCIe 3 slot will have zero detrimental effect on its performance, it doesn’t get close to maxing out a 16x PCIe 3’s capabilities.
 
i just upgraded to a b450 board from a z170 one and i have a 5700, no concerns here about pcie 4 which i wont have for many years :)
 
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