MathPlotAI Logo MathPlotAI

Explore y=mx+b

Explore y=mx+b
Loading the math board and drawing, please wait…
2019-02-28 23:21
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the relationship between the equation of a line and its appearance. Key math concepts include linear equations, slope, and intercept. It uses commands like Polygon, UnicodeToLetter, Numerator, Denominator, LaTeX, If, etc. Suitable for middle school and above students to learn linear equations and geometric construction.

GeoGebra Commands & Parameters

  1. Polygon((-6.3, -20.8), (-6.3, 20.8), (6.3, 20.8), (6.3, -20.8)) → viewBox, g, h, i, j
  2. UnicodeToLetter(10007) → xmark
  3. UnicodeToLetter(10003) → cmark
  4. Numerator(m) → rise
  5. Denominator(m) → run
  6. LaTeX("\text{\textbf{Question: } How do the values of \(m\) and \(b\) change the properties of a line?\\\textbf{Instructions: } Move the sliders for \(m\) and \(b\) to help you recall how their values affect\\the properties of a line.}") → TEXT
  7. Polygon(intercept, point2, (x(point2), y(intercept))) → t1, hypotenuse, riseLine, runLine
  8. LaTeX(("b=" * b)) → bCaption
  9. LaTeX(rise) → riseLabel
  10. LaTeX(run) → runLabel
  11. If(rise < 0, (-0.2, 1.3), (-0.2, -0.2)) → runOffset
  12. LaTeX(("\vphantom{\dfrac{1}{2}}m=" * NumToImproperFrac[m])) → mCaption