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**Rectangular Coordinate System**

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**Definitions X-axis – the horizontal axis Y –axis – the vertical axis**

Rectangular coordinate system: where the x-axis and the y-axis intersect Ordered pair: identifies the location of a point on the rectangular coordinate system (x coordinate, y coordinate) Origin: (0,0) – intersection of the x and y axis Quadrant: a section of the rectangular coordinate system

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**How to identify a point? First locate the origin**

Second, determine if you are going left or right from the origin If you go left, your x –coordinate is negative If you go right, your x –coordinate is positive

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**Third, determine if you are going up or down from the origin**

If you go down, your y –coordinate is negative If you go up, your y –coordinate is positive

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**How to graph a point? First Locate the origin**

Second, graph your x -coordinate: IF the value of your x coordinate is positive move to the right, if negative move to the left Third, graph your y -coordinate: IF the value of your y- coordinate is positive move up, if negative move down

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**How to identify the quadrant?**

First – locate where your point is Second – check your graph on which quadrant it is in.

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**Determine if an ordered pair is a solution**

Substitute your ordered pair into the equation: Check to see if the statement is true. Example: 3x – y = 12 Is (0, 12) a solution? 3(0) – (12) = 12 0 – 12 = 12 No, therefore (0,12) is not a solution Example: 3x – y = 12 Is (1, -9) a solution? Example: y = -2x Is (-3, 8) a solution? Example: x = 9 Is (4, 9) a solution?

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**Find the missing coordinate**

First substitute the given coordinate into the equation. Example: X + 2y = 8 ( ____, 9) X + 2(9) = 8 Simplify and solve for the missing coordinate X + 18 = 8 X = -10

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**Practice X – 4y = 4 (____, -2) 3x + y = 9 ( 4, ____) -2x + 7y = 14**

(3, _____) (_____, 5) Y = 9 (5, ___) (____, 9)

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