The perpendicular distance of the point P(3,4) from the Y-axis is

Options

A. 3
B. 4
C. 5
D. 7

Explanation

To find the perpendicular distance of the point P(3, 4) from the Y-axis, we can follow these steps:

### Step 1: Understand the Coordinate System
The coordinate system consists of two axes: the X-axis (horizontal) and the Y-axis (vertical). The point P(3, 4) is represented in this system where the first number (3) is the x-coordinate and the second number (4) is the y-coordinate.

**Hint:** Remember that the x-coordinate indicates how far to move left or right from the origin (0,0), and the y-coordinate indicates how far to move up or down.

### Step 2: Identify the Y-axis
The Y-axis is the vertical line where the x-coordinate is always 0. Any point on the Y-axis has the form (0, y).

**Hint:** The Y-axis is where all x-coordinates are zero.

### Step 3: Find the X-coordinate of Point P
The x-coordinate of point P(3, 4) is 3. This means that point P is located 3 units to the right of the Y-axis.

**Hint:** The distance from the Y-axis to any point is simply the absolute value of its x-coordinate.

### Step 4: Calculate the Perpendicular Distance
The perpendicular distance from point P(3, 4) to the Y-axis is equal to the absolute value of the x-coordinate, which is |3| = 3.

**Hint:** The shortest distance to a line (in this case, the Y-axis) from a point is the length of the perpendicular line drawn from the point to that line.

### Conclusion
Therefore, the perpendicular distance of the point P(3, 4) from the Y-axis is **3**.

**Final Answer:** 3