Linear Functions: Point-Slope Form

Linear Functions: Point-Slope Form
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2015-09-21 23:07
This example allows students to experiment with the slope of a line and the coordinates of a point it passes through, demonstrating the point-slope form of a linear function. Key concepts include linear equations and coordinate geometry. It uses GeoGebra objects such as sliders, points, and lines. Suitable for middle school and above students to learn linear equations and geometric construction.

GeoGebra Commands & Parameters

  1. Numeric k(2.0)
  2. Numeric m(1.0)
  3. Numeric h(1.0)
  4. f(x) = (m * (x - h)) + k
  5. (h, k)
  6. (((-k)) / m + h, 0)
  7. (0, ((-m) * h) + k)
  8. Point A(-3.0, -1.0)

AI Drawing Prompt Reference

Draw a line passing through the point (-3, -1) with a slope of 1. Use the point-slope form equation y - y1 = m(x - x1), where the slope m is 1 and the point (x1, y1) is (-3, -1).
The prompt above was compiled from the original drawing commands and is for reference only.