Plot the points A (2, 4) & B (2, -5) whose x-coordinates are same. Is this line AB parallel to any of the axes. If yes, to which axis is it parallel?

Answer

To solve the problem step by step, follow these instructions:

### Step 1: Plot the Points A and B
- **Point A** has coordinates (2, 4).
- Start at the origin (0, 0).
- Move 2 units to the right (positive x-direction).
- From there, move 4 units up (positive y-direction).
- Mark this point as A.

- **Point B** has coordinates (2, -5).
- From the origin (0, 0), move 2 units to the right (same x-coordinate as A).
- From there, move 5 units down (negative y-direction).
- Mark this point as B.

### Step 2: Draw the Line AB
- Connect points A and B with a straight line.

### Step 3: Determine if Line AB is Parallel to Any Axis
- Observe the coordinates of both points:
- Point A: (2, 4)
- Point B: (2, -5)
- Notice that the x-coordinates of both points are the same (x = 2).
- Since the x-coordinates are the same, the line AB is vertical.

### Step 4: Identify the Axis to which Line AB is Parallel
- A vertical line is parallel to the y-axis.
- Therefore, the line AB is parallel to the y-axis.

### Final Answer
Yes, the line AB is parallel to the y-axis.

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