What are cartesian coordinates?

• Cartesian?coordinates are basically the?x-y?coordinate system
  • They allow us to label where things are in a two-dimensional plane
• In the 2D cartesian system, the horizontal axis is labelled?x?and the vertical axis is labelled?y

What can we do with coordinates?

• If we have two points with coordinates (x₁?, y₁)?and?(x₂?, y₂)?then we should be able to find
  • The?midpoint?of the two points
  • The?distance?between the two points
  • The?gradient?of the line between them

How do I find the midpoint of two points?

• The midpoint is the?average (middle) point
  • It can be found by finding the middle of the?x-coordinates and the middle of the?y-coordinates
• The coordinates of the midpoint will be

• • This is given in the formula booklet under the prior learning section at the beginning

How do I find the distance between two points?

• The distance between two points with coordinates (x₁?, y₁)?and?(x₂?, y₂)?can be found using the formula

How do I find the gradient of the line between two points?

• The gradient of a line between two points with coordinates (x₁?, y₁)?and?(x₂?, y₂)?can be found using the formula