Linear functions and graphs

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

When I park my car in Mathstown, there are two car parks to choose from. Can you help me to decide which one to use?

Change one equation in this pair of simultaneous equations very slightly and there is a big change in the solution. Why?

Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?

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

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

Explore the relationship between resistance and temperature

What is the area of the triangle formed by these three lines?

If you plot these graphs they may look the same, but are they?

Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?