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Feb 23 Cartesian Points


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Feb 23 Cartesian Points

  1. 1. René Descartes 31 March 1596 – 11 February 1650
  2. 2. Why am I showing you a picture of Rene Descartes??
  3. 3. Rene Descartes invented a way to combine geometry with algebra. ax 2 +b 2 y =z c = b x- + y+ a z= 45 Cartesian Coordinates
  4. 4. He started with a grid, similar to what map makers use.
  5. 5. He called the main lines axis, and named them x and y. y x
  6. 6. He said any point can be represented as a pair of values, (x,y) The first value, x, will describe how far the point will be x=- x=+ from the y axis. Positive values go right, negative go left.
  7. 7. a value of x = 3 will be any point 3 units to the right of the y axis a value of x = -4 will be any point 4 units to the left of the y axis
  8. 8. The second value, y, will describe how y=+ far the point will be from the x axis. Positive values go up, negative go y=- down.
  9. 9. a value of y = 3 will be any point 3 units above the x axis a value of y = -4 will any point 4 units below the x axis
  10. 10. Any single point has 1 x value and 1 y (3,4) value written like this (x,y) Point (3,4) is 3 units right and 4 units up
  11. 11. Plot the following points A(3,2) B(-1,3) C(-2,-1) D(2,-2)