The reaction can be represented as follows:
```
Pb(NO3)2(aq) + 2KI(aq) → PbI2(s) + 2KNO3(aq)
```
Lead iodide is insoluble in water and has a bright yellow color, which is why it appears as a yellow solid when the two solutions are mixed. This reaction is commonly used as a qualitative test for the presence of lead ions in a solution.