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Gradient of a Straight Line by Broadrick Secondary School

Gradient of a Straight Line by Broadrick Secondary School
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2014-07-14 08:37
FunctionCoordinate GeometryDerivative
In collections Graphs of power functions 2 Graphs of power functions
This example demonstrates constructing a straight line through two points and calculating its gradient. Key mathematical concepts include the definition of a line's gradient and coordinate geometry. It uses commands like OrthogonalLine, Intersect, Midpoint, Segment, and Line in GeoGebra. Suitable for middle school and above students to learn about the concept of a line's gradient.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, yAxis) → b
  2. OrthogonalLine(B, xAxis) → c
  3. Intersect(b, c) → C
  4. Midpoint(A, C) → D
  5. Midpoint(B, C) → E
  6. Intersect(b, c) → H
  7. Segment(A, C) → d
  8. Segment(C, B) → e
  9. Line(A, B) → a
  10. Midpoint(A, B) → F

AI Drawing Prompt Reference

Draw a straight line through points A and B and calculate its slope. First, construct a perpendicular line to the y-axis through point A and a perpendicular line to the x-axis through point B, which intersect at point C. Then, find the midpoints D and E of segments AC and BC, respectively. Next, draw line segments d and e from A to C and C to B. Finally, connect points A and B to form line a, and locate the midpoint F of segment AB.
The prompt above was compiled from the original drawing commands and is for reference only.