If we draw lines of `x = 2` and `y = 3` what kind of lines do we get?

Answer

To solve the question of what kind of lines we get when we draw the lines \( x = 2 \) and \( y = 3 \), we can follow these steps:

### Step 1: Understanding the equation \( x = 2 \)
The equation \( x = 2 \) represents a vertical line. This line is parallel to the y-axis and crosses the x-axis at the point (2, 0).

### Step 2: Understanding the equation \( y = 3 \)
The equation \( y = 3 \) represents a horizontal line. This line is parallel to the x-axis and crosses the y-axis at the point (0, 3).

### Step 3: Drawing the lines
- Draw the x-axis and y-axis on a graph.
- For \( x = 2 \), draw a vertical line that passes through the point (2, 0).
- For \( y = 3 \), draw a horizontal line that passes through the point (0, 3).

### Step 4: Analyzing the intersection
The vertical line \( x = 2 \) and the horizontal line \( y = 3 \) will intersect at the point (2, 3).

### Step 5: Determining the relationship between the lines
Since one line is vertical (parallel to the y-axis) and the other line is horizontal (parallel to the x-axis), these two lines are perpendicular to each other.

### Conclusion
Thus, when we draw the lines \( x = 2 \) and \( y = 3 \), we get two intersecting lines that are perpendicular to each other.

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