# Linear Equations in one and two variables Activity No 2-Plot linear equation in two variables using Geogebra

From Karnataka Open Educational Resources

### Objectives

Understand how a linear equation is formed

Plot points on a linear equation, on the graphics view in Geogebra

Identify additional points on the line created

### Estimated Time

One period of 45 minutes

### Prerequisites/Instructions, prior preparations, if any

Introduction to linear equation in two variable

### Materials/ Resources needed

Spreadsheet with different combinations of 'x' and 'y'

Geogebra on your computer

### Process (How to do the activity)

- Share the spreadsheet containing sets of three 'x' and 'y' values with students. Each team of 2-3 students can get one or two such sets. The team should plot the points representing the 'x' and 'y' values provided, in Geogebra.
- The team should connect the points using the 'Line' function in Geogebra. They should verify that the three points lie on the line created.
- Share two additional values of 'x' with them. Ask them to locate these on the line created, using the 'point on object' function in Geogebra. This will give them the 'y' value corresponding to the 'x' values given.
- Students should study the line created and identify the general equation of the line in the ax+by+c=0 form.

### Evaluation at the end of the activity

- Students should identify additional points on the line in Geogebra and confirm that these also satisfy the equation
- Students calculate additional values of 'x' and 'y' in the linear equation given. They plot these additional points on Geogebra and confirm that these lie on the created line.