Parameters of a Linear Equation
Back to school...
Modify the sliders in the applet below and explore how the parameters of a linear equation influence its graphical representation.
Instructions
| 1. | | Enter a: y = 0.8 x + 3.2 into the Input Field and press the Enter key. |
- Move the line in the
Algebra View using the arrow keys. Which parameter are you able to change in this way?
- Move the line in the
Graphics View with the mouse. Which transformation can you apply to the line in this way?
Instructions (continued)
| 2. |  | Delete the line created in construction step 1. |
| 3. |  | Create sliders m and b using the default settings of sliders. |
| 4. |  | Enter a: y = m x + b into the Input Field. |
| 5. |  | Create the intersection point A between the line a and the y-axis. Hint: You can use the command Intersect(a, yAxis). |
| 6. |  | Create a point B at the origin. |
| 7. |  | Create a segment between the points A and B. Hint: You might want to increase the line thickness in order to make the segment visible on top of the y-axis. |
| 8. |  | Create the slope (triangle) of the line by clicking on the line. |
| 9. |  | Hide points A and B. Hint: Instead of using this tool, you can also click on the corresponding symbols in the Algebra View as well. |
| 10. | | Enhance the appearance of your construction using the Style Bar. |
Task
Write down instructions for your students, that guide them through examining the influence of the equation’s parameters on the line by using the sliders.
Hint: These instructions could be provided on paper along with the GeoGebra file.