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!