passing through (7,3)  and parallel to the y axis

The equation of a line that is parallel to the y-axis has the form:

\[
x = a
\]

Where \(a\) is the x-coordinate of every point on the line. Since the line passes through the point \((7, 3)\), the x-coordinate for this line is \(7\). Therefore, the equation of the line passing through \((7, 3)\) and parallel to the y-axis is:

\[
x = 7
\]

Would you like more details on why this is the equation, or do you have any further questions?

Here are 5 related questions:
1. What is the equation of a line passing through \((-4, 5)\) and parallel to the y-axis?
2. How would you find the equation of a line parallel to the x-axis passing through a given point?
3. How do you determine if two lines are parallel based on their equations?
4. What is the slope of a line parallel to the y-axis?
5. What is the general form of a vertical line in 3D space?

**Tip:** Vertical lines always have equations in the form \(x = a\), where \(a\) is the constant x-coordinate.

passing through (7, 3) and parallel to the y-axis

Learn how to find the equation of a line that passes through the point (7, 3) and is parallel to the y-axis. This problem involves understanding vertical lines in coordinate geometry and is suitable for students in Grades 6-8.

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