#### Find the equation for the pattern represented at right.

Anonymous

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Sangeetha Pulapaka

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Step 1 : Determine the set of coordinates from the given figures

Count the number of tiles in figure 1. We get the coordinates as (1,11)

Determine the point of intersection in the graph given to get the second set of points. The point of intersection is (3,7).

Step 2: Recall on how to find the slope from a set of points.

The formula of slope is m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Plug in the points (1,11) and (3,7) to get m = -2

Step 3: Recall the general form of a linear equation

y = m x + b

Plug in x = 1 and y = 11 in this to get b = 13

Step 4: Write the linear equation

Plug in m = -2 and b = 13

to get y = -2 x + 3