Hubble's Law
In 1929 Edwin Hubble noticed that the farther a galaxy is, the faster it appears to move away — and the two are simply proportional:
where is distance, is recession speed, and (the Hubble constant) is today's expansion rate. This isn't galaxies flying through space but space itself stretching, so every observer sees the same outward flow. Measuring from redshift and from a standard candle gives — and its inverse sets the rough timescale of the expansion.
Each dot below is a galaxy. Slide until the line threads the data — the slope that fits is the expansion rate, and its inverse is the naive age:
Each dot is a galaxy: farther ones rush away faster, in proportion. The slope of the line that best fits them is the Hubble constant H₀ — try to thread the dots and you'll land near 70, giving ~14 billion years.