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Can you find sets of sloping lines that enclose a square?

Diamond Collector

Collect as many diamonds as you can by drawing three straight lines.

Reflecting Lines

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

Parallel Lines

Age 11 to 14
Challenge Level

Alter the positions of the line by moving the points.
How does the position of the line affect the equation of the line?

Now explore what happens when you have two lines.
Position the lines so that they are parallel to each other.

Try various arrangements.

What can you say about the equations of parallel lines?

You may want to take a look at Perpendicular Lines after this.