Find the equation of a line that is parallel to the line x equals negative 10 and contains the point left parenthesis negative 8 comma 9 right parenthesis .
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Part 1
The equation of the parallel line is 
  
enter your response here.  ​(Type an​ equation.)

The given line is \(x = -10\). This is a vertical line passing through all points where the x-coordinate is \(-10\).

A line that is **parallel** to a vertical line must also be vertical. Therefore, it will have an equation of the form \(x = c\), where \(c\) is a constant.

Since the parallel line must pass through the point \((-8, 9)\), the value of \(c\) must be \(-8\), which is the x-coordinate of the given point.

### The Equation of the Parallel Line:
\[
x = -8
\]

This is the equation of the line parallel to \(x = -10\) and passing through the point \((-8, 9)\).

Would you like more details or have any questions?

Here are some related questions to expand your understanding:
1. What is the equation of a line parallel to \(y = 5\) that passes through the point \((2, -3)\)?
2. How do you find the distance between two parallel lines, such as \(x = -10\) and \(x = -8\)?
3. What is the slope of a line perpendicular to the line \(x = -10\)?
4. How would you find the midpoint of a line segment between two points, such as \((-10, 3)\) and \((-8, 9)\)?
5. How do you determine the intersection point of a vertical line and a horizontal line?

**Tip:** For vertical lines, the equation is always in the form \(x = \text{constant}\), and they do not have a slope since the slope is undefined.

Find the equation of a line that is parallel to the line x = -10 and contains the point (-8, 9).

This guide explains how to find the equation of a line that is parallel to x = -10 and passes through the point (-8, 9). Learn how vertical lines behave and how to determine their equations. Suitable for students in Grades 7-9.

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