MATH 8 - Q2

• Two Kinds of Axis

  1. x-axis
  2. y-axis
• x-axis

  • horizontal (-)
  • also called abscissa
• y-axis

  • vertical (I)
  • also called ordinate
• Origin


  where the coordinates all equal to 0
• Coordinates


  x, y
• Quadrant


  parts of a cartesian plane
• Rules:

  1. x always comes first when writing coordinates (x, y)
  2. positive is upward and to the right, negative is downward and to the left
• Point


  represented by a letter
• Cartesian Plane


  created by Rene Descartes
• Rene Descartes


  1576-1650
• NOTE:

  Q1 - all positive

  Q2 - negative x-axis, positive y-axis

  Q3 - all negative

  Q4 - positive x-axis, negative y-axis
• Two Kinds of Axis

  1. x-axis
  2. y-axis
• x-axis

  • horizontal (-)
  • also called abscissa
• y-axis

  • vertical (I)
  • also called ordinate
• Origin

  where the coordinates all equal to 0
• Coordinates

  x, y
• Quadrant

  parts of a cartesian plane
• Rules:

  1. x always comes first when writing coordinates (x, y)
  2. positive is upward and to the right, negative is downward and to the left
• Point

  represented by a letter
• Cartesian Plane

  created by Rene Descartes
• Rene Descartes

  1576-1650
• NOTE:

  Q1 - all positive

  Q2 - negative x-axis, positive y-axis

  Q3 - all negative

  Q4 - positive x-axis, negative y-axis
• Positive Slope


  from the left to the right (/)
• Negative Slope


  from the right to the left (\)
• Zero Slope


  horizontal (-)
• Undefined Slope


  vertical (l)
• Rise


  up and down
• Run


  left and right
• Standard Form


  ax + by = c

  
  

  example:

  3x - 5y = 60
• Slope Intercept Form


  y = mx + b

  
  

  example:

  y = 3/5 x + 12
• Positive Slope

  from the left to the right (/)
• Negative Slope

  from the right to the left (\)
• Zero Slope

  Horizontal (-)
• Undefined Slope

  vertical (l)
• Rise

  up and down
• Run

  left and right