Exploring Linear Equations

Formulate Equations

[size=85][size=100][color=#0000ff]5 pencils and 7 pens cost Rs50, whereas, 7 pencils and 5 pens cost Rs 46.Express as system of linear equations.[/color][/size][/size]

Plot the formulated equations and identify the solution.(use the input bar on the left of the following applet, you may have to Zoom in/out to see the lines clearly))

[size=100][size=150][color=#0000ff]What is the cost of one pen?[/color][/size][/size]

[size=150][color=#0000ff]What is the cost of one pencil?[/color][/size]

Pattern with Lines

Re- Create Pattern with Lines

[size=150][color=#0000ff]Study the above pattern. Make a similar (it may not be identical to above) pattern in the following GeoGebra applet. You may /may not change the colours. [br][br]To help you get started one line is already plotted.[br][/color][/size][br][color=#ff0000][size=150]Ensure that your pattern has ONE line that passes through origin.[/size][/color]

Re-create Pattern

[br][color=#ff0000][b][size=150]COMPLETE THE SQUARE[/size][/b][/color][br][size=150][color=#0000ff]In the following applet , plot two straight lines such that the points of intersection of the lines form a square with sides of length 6 units. 'A' is one of the vertices of this square.[br]Identify the coordinates of the vertices of the square so formed.You will need them in the following question.[/color][/size]

[color=#0000ff][size=150]Write the coordinates of the other three vertices of the constructed square in the above applet.[/size][/color]