Linear Functions: Slope-Intercept Form

Linear Functions: Slope-Intercept Form
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2015-09-21 21:27
This example allows students to experiment with the slope and y-intercept of a line using sliders, observing how the graph changes. It demonstrates linear functions, slope, and y-intercept. Constructed using GeoGebra objects: b (slope), m (slope), Y (y-axis), f (function), X (x-axis), A (point), text1 (text), B (point), pic1 (picture). Suitable for middle school and above students to learn properties of linear functions and graphical transformations, ideal for classroom instruction or self-study.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw a line with sliders for slope and y-intercept, showing the equation and graph. Mark the origin and y-intercept point on the coordinate system, and label the slope value. The line passes through the origin and y-intercept point, with corresponding function value points on the x-axis.
The prompt above was compiled from the original drawing commands and is for reference only.