Origin – Where the Axes Meet
The origin is the single point where the x-axis and y-axis cross. It has coordinates (0, 0) and acts as the “home base” of the coordinate plane – every other point's location is really just a description of how far it sits from the origin, in each direction.
The word “origin” comes directly from the Latin origo, meaning “beginning” or “source” – a fitting name, since it's the zero-point that every measurement on the plane starts from, in exactly the same way zero is the starting point of a single number line.
The Origin as (0, 0)
The origin is the point where the x-axis and y-axis intersect. Its coordinates are always (0, 0) – zero units across, zero units up or down.
No. Only (0, 0) is the origin. The point (0, 5) lies on the y-axis but is five units away from the origin.
Real-Life Application
- GPS navigation: distances are measured relative to a reference point, much like the origin.
- Blueprints: architectural drawings often set one corner as an origin point for all measurements.
- Physics: motion problems often place the origin at an object's starting position.
Key Takeaways
- The origin is the point (0, 0), where the x-axis and y-axis cross.
- Every other coordinate describes a position relative to the origin.
- The name comes from the Latin word for “beginning.”
Practice: Origin
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