Enclosing Squares

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

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?

Perpendicular Lines

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

Graphical Triangle

Stage: 3 and 4 Short Challenge Level:

What is the area, (in square units) of the triangle formed by the three lines whose equations are: $y-x=6$, $x-2y=3$ and $x+y=6$?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
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