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The Cartesian PLane Let’s start graphing!

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**Introduction to x-y plane**

You learned about the basic (counting) number line back in elementary school: Later on, you were introduced to zero and negatives, which completed the number line:

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Descartes' breakthrough was in taking a second number line, standing it up on its end, and crossing the first number line at zero:

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Ordered Pairs An 'ordered pair' is simply two numbers in a certain order. For example, the numbers '2' and '3' can form two ordered pairs: 2, 3 and 3, 2 In mathematics, we use two numbers to accurately locate a position on a rectangular grid, like this:

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**Coordinate system origin**

On a graph grid, the point (0,0) is called the 'origin' y coordinate origin The first coordinate of a plotted point is called the 'x' coordinate X coordinate The second coordinate of a plotted point is called the 'y' coordinate

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**Let’s Graph 2 1 (2, 4) ● ● ● (2, 4) (-4, 3) ● (-4, 3) (-5, -4) ●**

(3, -3) ● (3, -3) ● ● 3 4

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**Your turn: which quadrant will the point lie?**

1 2 3 4 (2, -3) (-2, -1) (5, -5) (-2, 1) (1, 5) 1 ● 4 ● 3 ● ● 4 ● 2

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The Coordinate Plane. We have worked with both horizontal and vertical number line s Horizontal -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7.

The Coordinate Plane. We have worked with both horizontal and vertical number line s Horizontal -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7.

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