Rectangular Coordinate System

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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
• -18 -18
• X -10

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Practice

• X 4y 4
• (____, -2)
• 3x y 9
• ( 4, ____)
• -2x 7y 14
• (3, _____)
• (_____, 5)

• Y 9
• (5, ___)
• (____, 9)