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Coordinate Geometry

Key Facts

You need to know the following important formulae and rules:
  • Distance between two points is found by Pythagoras' theorem: 
  • Coordinates of the midpoint of a line are the midpoints between the two coordinates:   
  • Gradient of a line is change in y ÷ change in x (or )
  • If two lines are perpendicular, 
  • The most commonly used equation of a straight line is 
  • You can also use  if you have two known points.
  • Points of intersection (where two lines cross) can be found using simultaneous equations.
Use the Test Yourself below to practise finding distances, gradients, midpoints, perpendicular gradients and equations of straight lines.

Test Yourself - Coordinate Geometry