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

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