Explanation:
The order in an ordered pair is important because it indicates the location of the given point in a coordinate plane.
In an ordered pair, (x, y):
- The first number, (x ) represents the first coordinate. It provides the location of the point relative to the horizontal axis of the coordinate plane.
- The second number, (y ) represents the second coordinate. It provides the location of the point relative to the vertical axis of the coordinate plane.
We cannot switch the values of the first and second coordinates; otherwise, the ordered pair will provide a different location on the coordinate plane.
For instance, if we're given the point, (3, 2), this means that x = 3, and y = 2. This is not the same as (2, 3), as the coordinates imply that x = 2, and y = 3.
Please see the attached screenshot where it shows how these two points have varying locations.