Is P(7,0) and Q (0,7) represent the same point ?

Answer

To determine whether the points P(7,0) and Q(0,7) represent the same point, we will analyze their coordinates step by step.

### Step 1: Understand the Coordinates
- The coordinates of point P are (7, 0).
- The coordinates of point Q are (0, 7).

### Step 2: Identify the X and Y Coordinates
- For point P (7, 0):
- X-coordinate = 7
- Y-coordinate = 0
- For point Q (0, 7):
- X-coordinate = 0
- Y-coordinate = 7

### Step 3: Plot the Points on a Graph
1. **Plotting Point P (7, 0)**:
- Start at the origin (0, 0).
- Move 7 units along the x-axis (to the right).
- Since the y-coordinate is 0, do not move up or down.
- Point P is located at (7, 0) on the graph.

2. **Plotting Point Q (0, 7)**:
- Start at the origin (0, 0).
- Since the x-coordinate is 0, do not move left or right.
- Move 7 units along the y-axis (upwards).
- Point Q is located at (0, 7) on the graph.

### Step 4: Compare the Points
- After plotting both points, we can see:
- Point P is located on the x-axis at (7, 0).
- Point Q is located on the y-axis at (0, 7).
- The two points are clearly in different locations on the graph.

### Conclusion
Since point P(7, 0) and point Q(0, 7) are located at different positions on the graph, we conclude that they do not represent the same point.

**Final Answer**: No, points P(7, 0) and Q(0, 7) do not represent the same point.

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