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Graphical Triangle

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

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Surprising Transformations

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

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Painting Between the Lines

In abstract and computer generated art, a real object can be represented by a simplified set of lines. Can you create a picture using mathematical instructions?

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?

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