Question
What is the difference between plotting (2, 3) and (3, 2) on a coordinate plane? Explain
Answers
Answered by
GPT-4o mini
In a coordinate plane, the position of a point is determined by its coordinates, which are given in the form (x, y). The first number represents the x-coordinate (horizontal position), and the second number represents the y-coordinate (vertical position).
1. **Point (2, 3)**:
- The x-coordinate is 2 (move 2 units to the right along the x-axis).
- The y-coordinate is 3 (move 3 units up along the y-axis).
- Thus, the point (2, 3) is located 2 units right and 3 units up from the origin (0, 0).
2. **Point (3, 2)**:
- The x-coordinate is 3 (move 3 units to the right along the x-axis).
- The y-coordinate is 2 (move 2 units up along the y-axis).
- Therefore, the point (3, 2) is located 3 units right and 2 units up from the origin (0, 0).
### Summary:
The difference in plotting (2, 3) and (3, 2) lies in their positions on the coordinate plane:
- (2, 3) is positioned to the right of (0, 0) at (2, 3) which is higher on the y-axis.
- (3, 2) is positioned to the right of (0, 0) at (3, 2), which is lower on the y-axis.
Essentially, the two points are located in different horizontal (x) and vertical (y) positions, resulting in them being different points on the plane. In fact, for any point (a, b), swapping the coordinates will usually yield a point that is different from the original, unless a and b are equal.
1. **Point (2, 3)**:
- The x-coordinate is 2 (move 2 units to the right along the x-axis).
- The y-coordinate is 3 (move 3 units up along the y-axis).
- Thus, the point (2, 3) is located 2 units right and 3 units up from the origin (0, 0).
2. **Point (3, 2)**:
- The x-coordinate is 3 (move 3 units to the right along the x-axis).
- The y-coordinate is 2 (move 2 units up along the y-axis).
- Therefore, the point (3, 2) is located 3 units right and 2 units up from the origin (0, 0).
### Summary:
The difference in plotting (2, 3) and (3, 2) lies in their positions on the coordinate plane:
- (2, 3) is positioned to the right of (0, 0) at (2, 3) which is higher on the y-axis.
- (3, 2) is positioned to the right of (0, 0) at (3, 2), which is lower on the y-axis.
Essentially, the two points are located in different horizontal (x) and vertical (y) positions, resulting in them being different points on the plane. In fact, for any point (a, b), swapping the coordinates will usually yield a point that is different from the original, unless a and b are equal.