Relationship between two variables

Lessons

Coordinate

System : A presentation of a real number by points on the real number line using an order pair.

Order

pairs: A point ( x , y ) on the coordinate plane. Eg. (-3,5), (0,5)…

Origin: The intersection of x-axis and y-axis $\to ( 0 , 0 )$

Relations: Sets of ordered pairs ( x , y )

Domain: All the x-values on the coordinate system

Range: All the y-values on the coordinate system

Independent Variable: The "x" values, which are also known as the inputs when solving for a solution.

Dependent Variable: The "y" values, which are also known as the outputs when solving for a solution.

• 1.
  Understanding the difference between X & Y
  a)

  
  
  
  
  

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• 2.
  Express the relation using mapping notation and ordered pairs.
  a)

  x = { -5 , -3 , -1 , 1 , 3 }
  y = { 2 , 4 , 6 , 10 , 12 }
  
  
  b)

  x = { -4 , -2 , 0 , 2 , 4 }
  y = { 3 , 3 , 3 , 3 , 3 }
  
  
  c)

  (1,3) , (2,2) , (3,1)
  
  

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• 3.
  Indicate the quadrant of the following points.
  a)

  (5, -3) (-3, 4) (-4, -3) (2, -6)
  
  

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• 4.
  Plot or find the points on the grid
  a)

  Find the coordinates A, B, C & D points
  
  
  
  
  
  b)

  Plot the following points on the grid:
  (4,5), (-2, 4), (-4,-3) & (5,-6)
  
  
  
  
  

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