To find the equation of a line that passes through the point \((4, 5)\) and is parallel to the y-axis, follow these steps:

### Step 1: Understand the characteristics of a line parallel to the y-axis
A line that is parallel to the y-axis is a vertical line. Vertical lines have an undefined slope and are represented by an equation of the form:

\[
x = \text{constant}
\]

### Step 2: Determine the equation
Since the line passes through the point \((4, 5)\), the equation of the line is simply the x-coordinate of the point:

\[
x = 4
\]

### Final Answer
The equation of the line that passes through \((4, 5)\) and is parallel to the y-axis is:

\[
\boxed{x = 4}
\]

Would you like more details or have any questions about this solution?

Here are some related questions you might find interesting:

1. What is the equation of a line parallel to the x-axis passing through \((4, 5)\)?
2. How do you find the equation of a line passing through two points when one of the points is on the y-axis?
3. What is the slope of a vertical line?
4. How do you graph a vertical line on the coordinate plane?
5. What are the differences between horizontal and vertical lines in terms of equations?

**Tip:** Vertical lines have the form \(x = \text{constant}\), where "constant" is the x-coordinate of any point the line passes through.

Learn how to find the equation of a line passing through the point (4, 5) and parallel to the y-axis. This problem involves understanding vertical lines in coordinate geometry. Suitable for students in Grades 9-12.

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