How to remember which to graph first?

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To effectively remember the order of graphing coordinates, focus on plotting the x-value first before the y-value. A suggested technique involves using a hand gesture; point your finger vertically and drag it left to right to locate the x-coordinate on the graph. Once the x-value is positioned, trace a short line to reinforce the correct placement before adding the y-value. Slowing down during the process can also help ensure accuracy in graphing. This method aids in consistently remembering the correct order for plotting points.
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I have a kind of embarrassing problem. When I'm working on problems, especially if there's more than one in a row where it involves a bunch of coordinates I inevitably flip graphing them, instead of going for the x first ill go for the y. Is there a simple way of remembering to do it so I can know I remembered to do it right?
 
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If you're aware of your mistakes, then you should probably slow down when answering the questions to make sure you've done it correctly.

I haven't had to do this myself, but maybe it would help if you used a hand gesture as an aid? If you need to plot (a,b) then first look at the value 'a' and drag your finger (pointed vertically on the page) from left to right across the plane until your finger is covering the required x-value of a. Your finger will be in the position of the line x=a. You can lightly trace a short portion of the line x=a too so that you don't need to hold your finger there any longer.
Once you have that line traced, just plot the y-value of b on that line and you've found your coordinate.

So remember: finger pointed vertically that you drag left to map the x coordinate.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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