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Vertical Line

Vertical lines are lines that go straight up and down as you can see in the picture below:
Vertical Line Picture
Picture of Vertical Line Graph
Horizontal Line Picture
Picture of Vertical Line Graph

    Other traits of Vertical lines

  • The equation of a vertical line does NOT have a y-intercept since a vertical line never crosses the y-axis.
  • The slope of a vertical line is undefined because the denominator of the slope (the change in X) is zero
  • Vertical lines help determine if a relation is a function in math.
  • The equation of a vertical line always takes the form x = k
    • where k is any number and k is also the x-intercept. For instance in the graph below, the vertical line has the equation x = 2 As you can see in the picture below, the line goes straight up and down at x = 2
Example 1 of a Vertical Line
Equation : x = 1
General Formula for the equation of a Vertical Line
is x = K where k is the x-intercept
General Formula for Equation
Below are several examples of the equation and graph of different vertical lines
Example 1 of a Vertical Line
Equation : x = 1
Example of graph of vertical line
Example 2 of a Vertical Line
Equation : x = -1
Example of graph of vertical line
Example 3 of a Vertical Line
Equation : x = 1.5
Example 3 of vertical line equation