Points (3, 4) and (4, 3) represent the same point on the graph.

Answer

To determine whether the points (3, 4) and (4, 3) represent the same point on a graph, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Coordinates**:
- A point on a graph is represented in the form (x, y), where 'x' is the x-coordinate and 'y' is the y-coordinate.

2. **Identifying the Given Points**:
- The first point is (3, 4). Here, x = 3 and y = 4.
- The second point is (4, 3). Here, x = 4 and y = 3.

3. **Plotting the Points**:
- For the point (3, 4):
- Move 3 units along the x-axis (to the right).
- Move 4 units along the y-axis (upward).
- Mark the point on the graph.
- For the point (4, 3):
- Move 4 units along the x-axis (to the right).
- Move 3 units along the y-axis (upward).
- Mark this point on the graph.

4. **Comparing the Points**:
- After plotting, observe the locations of both points.
- The point (3, 4) is located at (3, 4) on the graph.
- The point (4, 3) is located at (4, 3) on the graph.
- Since these two points are not at the same location, they represent different points.

5. **Conclusion**:
- Therefore, the statement that points (3, 4) and (4, 3) represent the same point on the graph is incorrect.

### Final Answer:
The statement is false; points (3, 4) and (4, 3) do not represent the same point on the graph.

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