Parameters of linear equations

Författare/skapare:GeoGebra Team

Creating sliders in the Algebra View

When you enter a letter different from x and y in the Input Bar, which hasn't been defined previously, GeoGebra will create a slider in the

Algebra View after pressing Enter. Note: You can display the slider in the

Graphics View by selecting the disabled

Visibility button next to the number in the

Algebra View.

Task

Graph a linear equation y = m x + b which parameters can be modified using sliders. Display the slope of the corresponding line and visualize the y-intercept.

Explore the construction...

Instructions

1.		Enter `y = m x + b` into the Input Bar and hit the Enter key. Hint: GeoGebra will automatically create sliders for the parameters m and b when pressing Enter. To show the sliders in the Graphics View, select the disabled Visibility button in the Algebra View on the left of the variables.
2.		Create the intersection point A between the line and the y-axis. Hint: You may either use the Intersect tool you can find in the Toolbox for points by selecting the two objects, or use the command `Intersect(f, yAxis)`.
3.		Create a point B at the origin using the Intersect tool and selecting the two axis.
4.		Select the Segment tool from the Toolbox for lines and create a segment between points A and B by selecting both points. Hint: Alternatively, you can use the command `Segment(A, B)` as well.
5.		Hide points A and B by clicking on the corresponding enabled Visibility buttons on the left of their coordinates in the Algebra View.
6.		Use the Slope tool from the Measure Toolbox to create the slope (triangle) of the line by clicking on the line.
7.		Enhance the appearance of your construction using the Style Bar (e.g., increase the line thickness of the segment to make it visible on top of the y-axis).

Try it yourself...

Change a slider's position in the Graphics View

By default, the position of a slider is absolute on screen. This way, you can change its value using the

Move tool without moving the whole slider accidentally. To change the position of a slider you can either...

select the Slider tool and drag the slider to a new position.
right-drag the slider to change its position (use the right key of your mouse if available).