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Part 1

Find an equation of the vertical line through left parenthesis 9 comma negative 8 right parenthesis .

A vertical line has the same \( x \)-coordinate for all points on the line. Since the line passes through the point \( (9, -8) \), the \( x \)-coordinate is always \( 9 \), regardless of the \( y \)-value.

Therefore, the equation of the vertical line through \( (9, -8) \) is:

\[
x = 9
\]

This equation describes a line that passes through all points where the \( x \)-coordinate is 9.

Would you like more details or have any questions?

Here are some related questions:
1. What is the equation of a horizontal line through the point \( (9, -8) \)?
2. How does the slope of a vertical line compare to that of a horizontal line?
3. How do we find the equation of a line if it is neither horizontal nor vertical?
4. What is the distance between the point \( (9, -8) \) and the point \( (0, 0) \)?
5. Can a vertical line be expressed in slope-intercept form \( y = mx + b \)?

**Tip**: A vertical line has an undefined slope because its rise is infinite over zero run.

Find an equation of the vertical line through (9, -8).

Discover how to find the equation of a vertical line passing through the point (9, -8) using key concepts in coordinate geometry. The solution explains why the equation is x = 9 and covers the properties of vertical lines, suitable for students in Grades 6-8.

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