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Points. Distance and Midpoint. Coordinate Plane. y -axis. II I. When graphing points in the coordinate plane, remember it is ( x,y ). The quadrants are numbered with Roman numerals and go counter clockwise. x -axis. III IV. Distance.

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points

Points

Distance and Midpoint

coordinate plane
Coordinate Plane

y-axis

II I

  • When graphing points in the coordinate plane, remember it is (x,y).
  • The quadrants are numbered with Roman numerals and go counter clockwise.

x-axis

III IV

distance
Distance
  • The distance formula is used to find the distance between two points.
  • The notation is only telling you to make sure to use the coordinates from the 2nd point, then the coordinates from the 1st point.
  • Find the distance between (2,5) and (6,8).
    • = 5
    • Distance is always positive!!
distance1
Distance
  • You try a few!
  • (5,4) and (3,7)
  • (8,-2) and (-5,-9)
  • (15,-15) and (-1,0)
  • (-5,-5) and (0,0)
midpoint
Midpoint
  • Midpoint is the point exactly in the middle of two points. (Just like it sounds!!)
  • It is the average of the x coordinates and the y coordinates.
  • The midpoint is always written as an ordered pair.
  • What is the midpoint between (2,5) and (6,1).
    • x = =
    • y =
    • The midpoint is at (4,3).
midpoint1
Midpoint
  • Your turn!!
  • (2,4) and (6,8)
  • (1,3) and (5,9)
  • (-4,-3) and (-8,-5)
  • (-5,-5) and (-7,-7)
  • (0,0) and (4,8)