The reaction of sodium bromide (NaBr) and silver nitrate (AgNO₃) is a double displacement reaction that produces silver bromide (AgBr) and sodium nitrate (NaNO₃).

Here's the balanced chemical equation:

NaBr (aq) + AgNO₃ (aq) → AgBr (s) + NaNO₃ (aq)

Explanation:

* (aq) indicates that the substance is dissolved in water (aqueous solution).

* (s) indicates that the substance is a solid.

What happens in the reaction:

* The sodium (Na⁺) ions from sodium bromide combine with the nitrate (NO₃⁻) ions from silver nitrate to form soluble sodium nitrate (NaNO₃).

* The silver (Ag⁺) ions from silver nitrate combine with the bromide (Br⁻) ions from sodium bromide to form insoluble silver bromide (AgBr) which precipitates out of the solution as a solid.

Note: This reaction is often used in the laboratory to demonstrate the formation of a precipitate. Silver bromide is a light-sensitive compound, which is why it is used in photographic film.