What is the relationship between wavelength and frequency?

Wavelength and frequency have an inverse mathematical relationship. Because all radio waves travel at a constant speed (the speed of light), if the frequency increases, the wavelength must proportionally decrease. Think of it like walking at a constant speed: if you take more steps per minute (higher frequency), each individual step must be shorter (shorter wavelength) to maintain the exact same overall speed. The mathematical formula linking the two is Wavelength = Speed of Light / Frequency. Since the speed of light is a fixed number, dividing it by a larger frequency naturally yields a smaller, shorter wavelength.