To determine the equation of a vertical line that passes through a given point, let's first recall the characteristics of vertical lines. A vertical line has the same x-coordinate for all points on the line, meaning it does not vary with the y-coordinate.
Given the point [tex]\((-2,5)\)[/tex], we know that the x-coordinate of this point is [tex]\(-2\)[/tex].
A vertical line passing through this point will have its x-coordinate constantly equal to [tex]\(-2\)[/tex] regardless of the y-coordinate. Therefore, the equation of the vertical line is:
[tex]\[
x = -2
\][/tex]
This equation remains consistent for any point on this line.
