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GeoGebra Lab 4

  1. Turn on the display of the coordinate axes and the grid if they aren’t already on.

  2. Enter the formula y = m (x – h) + k (Note: put a space between the m and the parentheses.) Press the return key.

    y = m (x - h) + k in the algebra view
  3. Notice that there are now three “sliders” that change the value of \(m\), \(h\), and \(k\). Move the dot in the middle of the slider to change the values of these parameters. Try different values of \(m\), \(h\), and \(k\) until you understand how each parameter affects the line.
  4. Notice that the equation of the line is shown below the sliders.
  5. How does changing the value of \(m\) change the line? What is the difference between negative and positive values?
  6. How does changing the value of \(h\) change the line? What is the difference between positive and negative values? How are these reflected in the equation of the line?
  7. How does changing the value of \(k\) change the line? What is the difference between positive and negative values? How are these reflected in the equation of the line?
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