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The question from your image is asking for the equation of a line that is parallel to \(x = 3\) and passes through the point \((-4, 3)\).

### Step-by-step solution:
1. The line \(x = 3\) is a vertical line, which means all points on this line have the same x-coordinate, \(x = 3\), and no y-component in the equation. 
   
2. Any line parallel to \(x = 3\) must also be a vertical line. The equation of a vertical line is always in the form \(x = k\), where \(k\) is a constant.

3. Since the line passes through the point \((-4, 3)\), the x-coordinate of this point is \(-4\). Therefore, the equation of the line is simply:
   \[
   x = -4
   \]

So, the equation of the line that is parallel to \(x = 3\) and passes through \((-4, 3)\) is:
\[
x = -4
\]

Would you like more details on this? Here are some related questions:

1. What is the slope of a vertical line?
2. How do we determine if two lines are parallel or perpendicular?
3. What is the general form of a vertical and horizontal line equation?
4. How would you find the equation of a line if it were horizontal?
5. How does the point-slope form of a line differ from the slope-intercept form?

**Tip**: Vertical lines have undefined slopes because they rise infinitely without running horizontally!

Find the equation of the line that is parallel to x = 3 and passes through the point (-4, 3).

Find out how to determine the equation of a line parallel to x = 3 that passes through the point (-4, 3). This problem covers key geometric concepts and includes step-by-step guidance. Suitable for students in Grades 9-11.

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