\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)

Coordinate Geometry

Grid

Definition Map
A map is a picture that shows us a place, like a park or a treasure island. It helps us see where things are, like trees, paths, or a treasure chest!
Example
Definition Grid
On a map, a grid helps us locate things. Each square on the grid has a name.
  • The first letter indicates the column and is read on the vertical axis.
  • The number indicates the row and is read on the horizontal axis.
Example
The treasure is in square C2.

Coordinate Plane

Definition Coordinate Plane
A coordinate plane is a grid formed by two number lines that cross at zero. One number line goes left and right (called the x-axis), and the other goes up and down (called the y-axis).
The coordinates of a point are a pair of numbers, like \(A(2, 3)\). The first number tells you how far to move right, and the second number tells you how far to move up.
Example
Plot these points on a coordinate plane: \( A(2,3), B(4,2), \text{ and } C(0,1) \).

  • For \( A(2,3) \): Move 2 units right, then 3 units up.
  • For \( B(4,2) \): Move 4 units right, then 2 units up.
  • For \( C(0,1) \): Stay at 0 units right, move 1 unit up.