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Here's a problem to work at with your graphic calculator or graph-plotting package on a computer.
If you plot the following lines
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the lines will enclose a square.
Can you find other sets of sloping lines that enclose a square?
If you are given the equations of two parallel lines
y = ax + b and y = ax + c
can you explain how to find the equations of the other two lines that would enclose a square, if you know that one of the vertices is at (0,b)? [In the example at the top, a = 2, b = 1 and c = 4]