It is possible to think of time as a 'line' with events strung on it like flags/tags.

Some people believe there are points at which events seem like they could result in different outcomes, like flipping a coin. They flip a coin and it comes up 'heads' but they can imagine a world where the flip came up 'tails.'
Some people even think both the 'heads' world and the 'tails' world are equally real, just that people in one cannot interact with the other. Both worlds continue forever.

These are 'parallel' or 'alternate' timelines.