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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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Perpendicular Lines

Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?

Surprising Transformations

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3
You may want to have a look at Translating Lines and Reflecting Lines before working on this problem.

Think about what happens to the intercept and gradient after each transformation.

How can I combine these transformations so that the gradient stays the same and the intercept moves down 9 places?