The perpendicular distance of the point p(-7,2) from y-axis is

Options

A. `-7`
B. `7`
C. `2`
D. None of these

Answer

To find the perpendicular distance of the point P(-7, 2) from the y-axis, we can follow these steps:

### Step 1: Understand the Coordinates
The coordinates of point P are given as (-7, 2). Here, -7 is the x-coordinate and 2 is the y-coordinate. The y-axis is represented by the line x = 0.

**Hint:** The x-coordinate indicates how far the point is from the y-axis.

### Step 2: Identify the Distance from the Y-Axis
The distance from any point (x, y) to the y-axis can be calculated using the absolute value of the x-coordinate. Therefore, the distance from point P(-7, 2) to the y-axis is given by:

\[ \text{Distance} = |x| = |-7| \]

**Hint:** Remember that distance is always a positive quantity, so we use the absolute value.

### Step 3: Calculate the Distance
Now, we calculate the absolute value:

\[ |-7| = 7 \]

**Hint:** The absolute value function converts negative numbers to positive numbers.

### Step 4: State the Result
Thus, the perpendicular distance of the point P(-7, 2) from the y-axis is 7 units.

**Final Answer:** The perpendicular distance of the point P(-7, 2) from the y-axis is 7 units.

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