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Enclosing Squares

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

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Parallel Lines

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

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Graphical Triangle

Weekly Problem 35 - 2007
What is the area of the triangle formed by these three lines?

Translating Lines

Stage: 3 Challenge Level: Challenge Level:1

You may want to have a look at Parallel Lines before working on this problem.

Why not start by investigating some equations whose graphs you can visualise easily?