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Origin

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Algebra and Trigonometry

Definition

The origin is the point (0, 0) in the rectangular coordinate system where the x-axis and y-axis intersect. It serves as a reference point for locating all other points in the plane.

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5 Must Know Facts For Your Next Test

  1. The coordinates of the origin are always (0, 0).
  2. It is the point where both axes in a Cartesian plane intersect.
  3. In equations of lines, if a line passes through the origin, its y-intercept is zero.
  4. The distance from any point (x, y) to the origin can be found using the formula $\sqrt{x^2 + y^2}$.
  5. In transformations such as translations and rotations, the origin often serves as a fixed reference point.

Review Questions

  • What are the coordinates of the origin?
  • How do you calculate the distance between any given point and the origin?
  • What does it mean for a line to pass through the origin in terms of its equation?
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