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The question in the image asks to find the equation of a line that is parallel to the line \(x = -14\) and contains the point \((-1, 5)\).

### Solution:
The line \(x = -14\) is a vertical line, meaning it is parallel to the y-axis. The equation of any vertical line is in the form \(x = \text{constant}\).

For the new line to be parallel to \(x = -14\), it must also be a vertical line. Therefore, the equation of the parallel line will be \(x = \text{constant}\), where the constant is the x-coordinate of the point \((-1, 5)\).

Since the given point is \((-1, 5)\), the x-coordinate is \(-1\).

Thus, the equation of the parallel line is:
\[
x = -1
\]

Do you want more details or have any questions?

Here are 5 related questions for further understanding:
1. What is the general form of the equation of a vertical line?
2. How do you find the slope of a vertical line?
3. Why does a vertical line have no slope or an undefined slope?
4. How can you determine if two lines are parallel?
5. What is the difference between the equations of vertical and horizontal lines?

**Tip:** In geometry, two lines are parallel if they have the same slope or if they are both vertical (or both horizontal).

Find the equation of a line that is parallel to the line x = -14 and contains the point (-1, 5).

Learn how to find the equation of a line that is parallel to x = -14 and passes through the point (-1, 5). Understand the concept of vertical lines and how to apply parallel line properties. Suitable for students in Grades 8-10.

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