Coordinate Geometry

Coordinate Geometry

1. Cartesian system

   • Used for describing the position of a point in a plne
   • Denoted by (x,y)
     • X coordinate is abccissa
     • Y coordinate is ordinate
   • Developed by Rene Descarates French mathematician
   • Divided in 4 quadrants
     • Q1 (x,y)
     • Q2 (-x,y)
     • Q3(-x,-y)
     • Q4 (x,-y)

2. Equation of

   • Line parallel to
     • X axis is y constant
   • X axis is y=0

3. Fixed point

   • Is origin (0,0)
     • Moving left
       • -ve x axis (-x,0)
     • Moving right
       • +ve x axis (x,0)
     • Moving up
       • +ve y axis (0,y)
     • Moving down
       • -ve y axis (0,-y)

4. Requires

   • Two perpendicular lines
     • Horizontal line x axis
     • Vertical line y axis