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Linear Function's Input x and Output y Values on a Cartesian Coordinate System

Linear Function's Input x and Output y Values on a Cartesian Coordinate System
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2021-06-22 10:18
FunctionCoordinate GeometryGraphing
In collections Introduction to Linear Functions and Graphs
This example illustrates how the input x and output y values of a linear function are mapped to the x and y coordinates of a Cartesian coordinate system. It involves the core mathematical concept of linear functions. Using GeoGebra commands such as Textfield, Coefficients, If, Vector, etc., the graph of a linear function can be dynamically displayed. Suitable for students at the junior high school level and above to learn about the graph and properties of linear functions.

GeoGebra Commands & Parameters

  1. Textfield(g) → InputBox1
  2. Coefficients(f_i) → l1
  3. If(Defined[Element[l1, 1]], Element[l1, 1], 0) → m
  4. If(Defined[Element[l1, 2]], Element[l1, 2], 0) → c
  5. Vector(P, (x(P), 0)) → u
  6. Vector((x(P), 0), P) → v
  7. Vector((0, y(P)), P) → w
  8. Vector(P, (0, y(P))) → b
  9. Text(x(P), (x(P), -0.8)) → text3
  10. Text(y(P), (-0.8, y(P))) → text4

AI Drawing Prompt Reference

Draw a straight line on a Cartesian coordinate system. The line's points are determined by input x values and corresponding y values. The x-axis and y-axis serve as the baseline. Points on the line can be represented using vectors. Text labels are used to annotate x and y values. Ensure the line is clear and the axes are visible.
The prompt above was compiled from the original drawing commands and is for reference only.