Let we Learn about Ordered Pair
- An Ordered pair is a pair of elements (or Numbers) used to locate a point on a Cartesian Plane (or Coordinate Plane)
- The pair of elements that occur in a certain order and are enclosed in brackets are called a set of ordered pairs. An ordered pair is written as (a, b) i.e. (2, 5), (-4, 8), (-7, -9).
- The first Number is called the x-coordinate and second Number is called y-coordinate.
- In one more Category, The first Number is called the abscissa and the second Number is called the ordinate. In other words, x-coordinate is called abscissa and y-coordinate is called Ordinate
- x-coordinate moves Horizontally and y-coordinate moves along vertically.
- The horizontal axis is called the x-axis and the vertical axis is called the y-axis
- The center of the coordinate system (where the both lines intersect) is called the origin. This intersecting point of both axes is called "Origin". The coordinates of the origin are (0, 0).
The ordered pair (4, 5) is found in the coordinate system when you move 4 steps to the right on the x-axis and 5 steps upwards on the y-axis.
- (a, b) ≠ (b, a)
- If (a, b) = (c, d) ⇒ a = c & b = d.