Linear Inequality Graph

How to Use this Applet

Definitions

• <SHIFT>+drag: Hold down the <SHIFT> key, then drag the described object.
• <CTRL>+drag: Hold down the <CTRL> key, then drag the described object.
• <CTRL>+<SHIFT>+drag: Hold down both the <CTRL> key and the <SHIFT> key, then drag the described object.
• ⇒: One of the following relationships:
  • less than ( < )
  • less than or equal to ( ≤ )
  • equal to ( = )
  • greater than or equal to ( ≥ )
  • greater than ( > )

Control and Keyboard Functions

• Use the slider controls to change the following parameters:
  • m and b in the linear relation y ⇒ mx + b.
  • a, b and c in the the linear relation ax + by ⇒ c.
  • n in the linear relation y ⇒ n.
  • n in the linear relation x ⇒ n.
• Drag the slider thumb to change the value of a parameter. Use the <UP> and <DOWN> arrow keys to increase or decrease the selected parameter. (Use the keys for fine adjustments.)
• NOTE: If a key doesn't respond:
  • position the cursor in the applet frame
  • click the mouse button
  • try the key again.
• Use the <LEFT> and <RIGHT> arrow keys to change the selected parameter. The selected parameter will have light blue slider gutters.
• Drag a slider scale to change the range of the scale while maintaining the scale length.
• Drag a location in a slider gutter towards or away from the thumb to change both the range of the scale and the scale length.
• Select the corresponding parameter button to enter a value for a parameter.
• Select the MOVE ORIGIN button, then drag in the graph area to move the entire coordinate system.
• Select the CHANGE A SCALE button, then drag in the graph area, towards or away from:
  • the x-axis, to change the y-axis scale.
  • the y-axis, to change the x-axis scale.
• Select the PRECISION button to set number rounding.
• Select the TRACE button to see if the corresponding cursor location is on the graph by using verification.
• Select the RESET button to restore the applet to the initial state.

Graph Area Functions for y ⇒ mx + b

• Drag the dot to move the line.
• Drag a location along the line other than the dot to change the slope of the line.

Graph Area Functions for ax + by ⇒ c

• Adjust the line by changing the parameters. There are no methods available to adjust the graph in the graph area.

Graph Area Functions for y ⇒ n and x ⇒ n

• Drag a location along the line to move the line.

General Graph Area Functions

• <SHIFT>+drag in the graph area to move the entire coordinate system.
• <CTRL>+drag in the graph area, towards or away from:
  • the x-axis, to change the y-axis scale.
  • the y-axis, to change the x-axis scale.
• <CTRL>+<SHIFT>+move in the graph area to identify if the corresponding cursor location is on the graph by substitution of coordinate values into the inequality.