A vertical line is all rise. If there is no y value then how does this become a line in the x-y plane?

can someone please help

The vertical line as a equation such as x=4 (a vertical line at 4)

is tha a queation is it that what i am supposed to be lookign at

Sure, I'd be happy to help explain this concept!

In mathematics and geometry, a vertical line is defined as a line that is perpendicular to the x-axis on the x-y plane. It extends infinitely in both the positive and negative y-directions.

When we say that a vertical line has "no y value," we mean that its y-coordinate remains constant along its entire length. For example, if we consider a vertical line passing through the point (2,0), all the points on that line will have an x-coordinate of 2 but can have any y-coordinate.

While each individual point on a vertical line may not have a unique y-value, collectively they form a line in the x-y plane. By convention, we often represent a vertical line by writing the equation as "x = a", where 'a' is the x-coordinate of any point on the line. This equation indicates that the x-coordinate takes any value ('a') while the y-coordinate remains constant.

To visualize a vertical line, imagine a ruler standing upright on a piece of graph paper. Each point on the ruler represents a coordinate pair (x, y), but the ruler is completely vertical, meaning that the y-value does not change. All the points on the ruler form a straight line, which is referred to as a vertical line.

I hope this explanation helps clarify the concept of vertical lines in the x-y plane. If you have any further questions, please feel free to ask!