Changing interest rates are an example of a demand side policy change, specifically monetary policy, this means that the Aggregate Demand (AD) curve will shift (see diagram)
This can be demonstrated through the following chain of analysis: A fall in interest rates mean that there will be a smaller benefit of saving as there is a lower rate of return. Therefore, consumers and businesses are more likely to spend more. Consumer spending and Business Investment are both components of Aggregate Demand, therefore when they rise, AD will also increase, therefore the AD curve will shift rightwards, as shown in the diagram.
This will mean Real National Output (RNO) will increase (as shown in diagram) and therefore GDP growth rates will increase