Examining Slope (WS 3)

Below you can see a linear equation and its graphical representation as a line. 

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Note: Write down all your answers on a sheet of paper.
  1. Drag slider m with the mouse and describe what happens to the line and its equation. Which property of the line can be modified with slider m?
  2. Click on the little ellipse icon in the upper right corner of the construction to reset it to its initial state. Describe what is "special" about the length of the horizontal slope triangle leg in the default setting of the construction. 
  3. Try to find the relation between the value of slider m and the lengths of the slope triangle legs. Write down your assumption.
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