Step 1: Understand the IS-LM model.
The IS-LM model is a macroeconomic model that shows the relationship between interest rates (I) and output (Y) in the goods market (IS curve) and the money market (LM curve). The LM curve represents equilibrium in the money market, where the demand for money equals the supply.
Step 2: Effect of an increase in money supply.
When the central bank increases the money supply, it shifts the LM curve to the right, leading to a decrease in interest rates. Lower interest rates make investment more attractive, leading to an increase in income (output).
Thus, when the central bank increases the money supply, the interest rate falls and income rises.
Final Answer:
\[
\boxed{\text{fall, rise}}
\]