Problem

$\begin{array}{l}J(-6,-2) \\ K_{1}(8,2) \\ L_{1}(6,6) \\ M(-2,6)\end{array}$ what is the coordination rule for these points?

Answer

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Answer

\(\boxed{\text{Final Answer: The coordinate rule for these points is to add 14 to the x-coordinate and 4 to the y-coordinate to get K1, add 12 to the x-coordinate and 8 to the y-coordinate to get L1, and add 4 to the x-coordinate and 8 to the y-coordinate to get M.}}\)

Steps

Step 1 :The given points are J(-6,-2), K1(8,2), L1(6,6), and M(-2,6). To find the coordinate rule, we need to determine how we can transform the coordinates of J to get the coordinates of K1, L1, and M.

Step 2 :Looking at the coordinates, it seems like we are adding a certain value to the x-coordinate and y-coordinate of J to get the coordinates of K1, L1, and M.

Step 3 :For K1, we are adding 14 to the x-coordinate of J and adding 4 to the y-coordinate of J. For L1, we are adding 12 to the x-coordinate of J and adding 8 to the y-coordinate of J. For M, we are adding 4 to the x-coordinate of J and adding 8 to the y-coordinate of J.

Step 4 :So, the coordinate rule seems to be adding a certain value to the x and y coordinates of J.

Step 5 :The coordinate rule for these points is to add 14 to the x-coordinate and 4 to the y-coordinate to get K1, add 12 to the x-coordinate and 8 to the y-coordinate to get L1, and add 4 to the x-coordinate and 8 to the y-coordinate to get M.

Step 6 :In general, the coordinate rule can be represented as \((x+dx, y+dy)\), where dx and dy are the values to be added to the x and y coordinates of J, respectively.

Step 7 :\(\boxed{\text{Final Answer: The coordinate rule for these points is to add 14 to the x-coordinate and 4 to the y-coordinate to get K1, add 12 to the x-coordinate and 8 to the y-coordinate to get L1, and add 4 to the x-coordinate and 8 to the y-coordinate to get M.}}\)

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