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Enclosing Squares

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

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.

Translating Lines

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

Parallel Lines

Age 11 to 14 Challenge Level:

It may help to keep one variable fixed and just change the other one:

you could keep the gradient fixed and change the intercept,
or you could keep the intercept fixed and change the gradient.

How do these changes affect the equation of the line?