﻿ Vertical line: traits, examples and usage in mathematics

# Vertical Line

Vertical lines are lines that go straight up and down as you can see in the picture below :

Vertical Line Picture
Horizontal Line Picture

### 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

### Several Examples

Below are several examples of the equation and graph of different vertical lines

Example 1 of a Vertical Line

Equation : x = 1

Example 2 of a Vertical Line

Equation : x = -1

Example 3 of a Vertical Line

Equation : x = 1.5

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