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Lines' Equations WITHOUT axis!

Lines' Equations WITHOUT axis!
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2016-01-10 20:44
Coordinate GeometryTransformationParametric Equation
This example demonstrates drawing line equations without an axis, involving core concepts like line equations, parametric curves, and rotation. It uses GeoGebra commands/objects such as y1, x1, m, a, A, b, c, d, e, f, g. Suitable for high school mathematics learning and spatial geometry exploration.

GeoGebra Commands & Parameters

  1. Numeric y1(1.0)
  2. Numeric x1(0.0)
  3. Numeric m(1.0)
  4. y - y1 = m * (x - x1)
  5. (x1, y1)
  6. Line b(-2.0, 1.0, 2.0)
  7. Line c(-0.5, 1.0, -3.0)
  8. Line d(0.25, 1.0)
  9. Line e(1.0, 1.0, -1.0)
  10. Line f(0.0, 1.0, -4.0)
  11. Line g(1.0, 0.0, -4.0)

AI Drawing Prompt Reference

Draw a set of line equations without axes. Include a line with a slope of 1, and three other lines: one passing through (-2,1) with a slope of 2, one passing through (-0.5,1) with a slope of -3, and one passing through (0.25,1) with a slope of 1. Ensure these lines are clearly visible and maintain their relative positions.
The prompt above was compiled from the original drawing commands and is for reference only.