how do i write an equation of a line that is parallel to the y-axis passing through the point (9,-4)

x=9

Does that do it?

i wrote that but i didn't think it was right. thank you!

To write an equation of a line parallel to the y-axis passing through a given point, you need to remember that a line parallel to the y-axis has a constant x-coordinate.

In this case, the point (9, -4) has an x-coordinate of 9. Therefore, any line parallel to the y-axis passing through this point will have the same x-coordinate of 9 for every point on the line.

So, the equation of the line parallel to the y-axis passing through the point (9, -4) is x = 9.

To understand this conceptually, you can think of the y-axis as a vertical line along the x-coordinate axis. Since the line is parallel to it, the x-coordinate remains the same regardless of the y-coordinate.