TI-Nspire App Tutorial

Graphs of Parallel and Perpendicular Lines

Summary

• In this tutorial, you’ll explore the graphs of Parallel and Perpendicular Lines. The steps in the tutorial include:

– Creating a Graph Window.

– Creating a Slider.

– Graphing two Parallel Lines linked to the Slider.

– Graphing two Perpendicular Lines linked to the Slider.

Create a Graph Window

Click on the + tool to activate this menu.

Create a Slider

By default the keyboard is active. Click on the Keyboard button to deactivate it.

Create a First Slider

Click on Menu. Select Actions > Insert Slider.

Configure the Slider

This slider is for m, the slope of a linear function. Configure as shown. Press OK.

Move the Slider

Press and hold the Slider to bring up the option for moving it. Select Move and reposition the slider.

Move the Slider

Move the slider to the location shown.

Input the First Linear Function

Activate the Function Entry Line by clicking on + in the upper-right-hand corner. Input the function shown. Press

Enter.

y =m • x

Input the Second Linear Function

Press + to bring back the Function Entry line. Input the second function, shown above. Press Enter.

y =m • x + 3

Graph the Parallel Lines

The graphs of these functions are parallel because they are both linked to the same slider, which

means they have the same slope.

Manipulate the Sliders

Changing the values on the Slider results in two different graphs, but they are still parallel.

Edit the Second Linear Function

Edit the second function. Press the + button on the upper-right corner to bring up the Function Entry

line. Then press the Up arrow.

Edit the Second Linear Function

Modify f2(x) as shown. Press Enter.

y = -1

m• x + 3

Graph the Parallel Lines

The graphs shown are perpendicular to each other.

Manipulate the Sliders

Manipulating the Sliders changes the graphs, but they remain perpendicular.