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

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Graphical Triangle

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

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Negatively Triangular

How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?

Perpendicular Lines

Age 14 to 16 Challenge Level:

Alter the positions of the lines by moving the points.

Position the lines so that they are perpendicular to each other.
Try various arrangements.

What can you say about the equations of perpendicular lines?