[list=1][*]Graph a linear equation [code]y = m x + b[/code] whose parameters can be modified using sliders.[/*][*]Display the slope of the corresponding line and visualize the [i]y[/i]-intercept.[br][/*][/list]
[table][tr][td]1.[br][/td][td][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][br][/td][td]Enter [font=Courier New]y = m x + b[/font] into the [i]Algebra Input[/i] and press the [i]Enter[/i] key.[br][u]Hint[/u]: GeoGebra will automatically create sliders for the parameters [i]a[/i] and [i]b[/i].[br][/td][/tr][tr][td]2.[/td][td][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][br][/td][td]Create the intersection point [i]A[/i] between the line and the [i]y[/i]-axis.[br][u]Hint[/u]: You may either use the [i]Intersect [/i]tool, or the command [font=Courier New]Intersect(a, yAxis)[/font].[br][/td][/tr][tr][td][size=100]3.[/size][/td][td][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][br][/td][td]Create a point [i]B[/i] at the origin using tool [i]Intersect[/i].[br][/td][/tr][tr][td]4.[/td][td][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_segment.png[/icon][/td][td]Select tool [i]Segment[/i] and create a segment between the points [i]A[/i] and [i]B[/i].[br][u]Hint[/u]: Alternatively, you may use the command [code]Segment[A, B][/code] as well.[/td][td][/td][/tr][tr][td][size=100]5.[/size][/td][td][icon]https://www.geogebra.org/wiki/uploads/thumb/1/1f/Algebra_shown.svg/32px-Algebra_shown.svg.png[/icon][/td][td]Hide points [i]A[/i] and [i]B [/i]by clicking on the corresponding marbles to the left of their coordinates in the [i]Algebra View[/i].[br][/td][/tr][tr][td][size=100]6.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_slope.png[/icon][/size][/td][td][size=100]Use tool Slope in order to create the slope (triangle) of the line by clicking on the line.[/size][/td][/tr][tr][td][size=100]7.[/size][/td][td][img]https://wiki.geogebra.org/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/32px-Stylingbar_icon_graphics.svg.png[/img][/td][td]Enhance the appearance of your construction using the [i]Style Bar[/i] (e.g., increase the line thickness of the segment to make it visible on top of the [i]y[/i]-axis.).[/td][/tr][/table]