Find the equation of a line parallel to y-axis and passing through the point (-3, 4)

Options

A. `x+3=0`
B. `x-3=0`
C. `x+4=0`
D. `x-4=0`

Answer

To find the equation of a line that is parallel to the y-axis and passes through the point (-3, 4), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Characteristics of the Line**:
- A line parallel to the y-axis has the same x-coordinate for all points on the line. Therefore, the equation of such a line will be of the form \( x = k \), where \( k \) is a constant.

2. **Identify the Given Point**:
- The point through which the line passes is given as (-3, 4). Here, the x-coordinate is -3.

3. **Write the Equation**:
- Since the line is parallel to the y-axis and passes through the point (-3, 4), we can directly write the equation of the line as:
\[ x = -3 \]

### Final Answer:
The equation of the line parallel to the y-axis and passing through the point (-3, 4) is:
\[ x = -3 \]