The reaction represented in the equation is a **Single Replacement** reaction. In this type of reaction, one element is replaced by another in a compound. Here, iodine (I) in potassium iodide (KI) is replaced by bromine (Br2). However, there seems to be a typo in your equation. The correct equation should be:
$Br_2 + 2KI \rightarrow 2KBr + I_2$
This shows that bromine (Br2) reacts with potassium iodide (KI) to form potassium bromide (KBr) and iodine (I2). This is a classic example of a single replacement reaction.