Exploration (iv) Patterns

Check out patterns 1, 2, 3 and 4 (below). Using whatever method you can think of, figure out the relationship between the x coordinates and the y coordinates of the points on each line (one line at a time). Write the relation as an equation between x and y.

Plot the points and try out your equations here:

Pattern 1

ps – what’s the area of the quadrilateral bound by the four lines? Use the polygon tool to check out your answer.

Pattern 2

Pattern 3

Pattern 4


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