Vertical Line
A vertical line is a straight line that runs straight up and down on a graph or coordinate plane
A vertical line is a straight line that runs straight up and down on a graph or coordinate plane. It has the same x-coordinate for all points on the line, while the y-coordinate can vary. In other words, a vertical line has an undefined slope and its equation can be written as x = c, where “c” represents a constant value.
The slope of a vertical line is undefined because the change in y-values (vertical change) is zero when the change in x-values (horizontal change) is any real number. This results in a vertical line with no slant or inclination.
On a graph, a vertical line can be identified by the fact that it runs parallel to the y-axis. The equation x = c represents the line passing through the point (c, y), where y can be any real number. Therefore, by specifying the x-coordinate, you can locate any point on the vertical line.
Vertical lines have several useful properties and applications in mathematics. For example, they can be used to help determine parallel and perpendicular lines, intersections, and certain geometric shapes.
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