The balanced equation for the reaction between silver nitrate (AgNO₃) and potassium iodide (KI) is:

AgNO₃(aq) + KI(aq) → AgI(s) + KNO₃(aq)

Here's a breakdown:

* AgNO₃(aq): Silver nitrate, dissolved in water (aqueous)

* KI(aq): Potassium iodide, dissolved in water (aqueous)

* AgI(s): Silver iodide, a yellow precipitate (solid)

* KNO₃(aq): Potassium nitrate, dissolved in water (aqueous)

Explanation:

This reaction is a classic example of a double displacement reaction where the cations and anions of the reactants switch partners.

* Silver ions (Ag⁺) from silver nitrate react with iodide ions (I⁻) from potassium iodide to form silver iodide (AgI), a yellow solid that precipitates out of solution.

* The remaining ions, potassium (K⁺) and nitrate (NO₃⁻), form potassium nitrate (KNO₃) which remains dissolved in the solution.

The equation is balanced because there are equal numbers of each type of atom on both sides of the equation:

* 1 Ag on each side

* 1 N on each side

* 1 I on each side

* 1 K on each side

* 3 O on each side