Visualizing a System of Linear Equations
Task
Create a dynamic figure that visualizes the solution of a system of linear equations.
Construction Steps
| 1. |  | Create slider m_1 with the default settings for sliders.
Hint: The input m_1 gives you m1. |
| 2. | | Create slider b_1 with the default settings for sliders. |
| 3. |  | Enter the linear equation line_1: y = m_1 x + b_1. |
| 4. |
| Create sliders m_2 and b_2 using the default settings for sliders. |
| 5. | | Enter the linear equation line_2: y = m_2 x + b_2. |
Try it yourself...
Construction Steps (Continued)
| 6. |  | Create the dynamic text1: Line 1: and select line_1 from the list of objects on tab  of the Advanced section. |
| 7. | | Create the dynamic text2: Line 2: and select line_2 from the list of objects on tab . |
| 8. |  | Construct the intersection point A of both lines line1 and line2 .
Hint: You could use command Intersect[line_1, line_2] instead. |
| 9. | | Define xcoordinate = x(A).
Hint: x(A) gives you the x-coordinate of point A. |
| 10. | | Define ycoordinate = y(A).
Hint: y(A) gives you the y-coordinate of point A. |
| 11. | | Create the dynamic text3: Solution: x = and select xcoordinate from the list of objects on tab . |
| 12. | | Create the dynamic text4: y = and select ycoordinate from the list of objects on tab . |
| 13. | Fix the texts and sliders so they can’t be moved accidentally. |
Note
Such a dynamic figure can also be used to visualize...
- the solution of a system of functions.
- an equation in one variable by entering each side of the equation as one of the two functions.