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Equation of Straight Line

Equation of Straight Line
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2020-04-18 17:02
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the construction of a straight line equation. Key mathematical concepts include the slope and intercept of a line. Using GeoGebra commands such as Point, OrthogonalLine, Line, and Intersect, the formation of the line can be dynamically shown. Suitable for students in middle school and above to learn about straight line equations.

GeoGebra Commands & Parameters

  1. Point(xAxis) → G
  2. Point(yAxis) → H
  3. OrthogonalLine(G, xAxis) → l_{1}
  4. OrthogonalLine(H, yAxis) → l_{2}
  5. Point(l_{1}) → C
  6. Point(l_{2}) → D
  7. Line(A, B) → l_{3}
  8. Point(l_{3}) → P
  9. Intersect(l_{3}, yAxis) → E
  10. Slope(l_{3}) → m

AI Drawing Prompt Reference

On a coordinate plane, place a point on the x-axis and draw a vertical line through it. Place another point on the y-axis and draw a horizontal line through it. Choose one point on each of these two perpendicular lines, then connect these two points to form a straight line. Mark the intersection of this line with the y-axis as the intercept, and display the slope of the line. This construction visually demonstrates the geometric meaning of slope and intercept in a linear equation.
The prompt above was compiled from the original drawing commands and is for reference only.