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# Vertical Line Equation Definition

The equation of a vertical line is x = k, where a represents the x-intercept. The graph below provides an example of the equation of a vertical line.

## Properties

• The equation of a vertical line does not have a y-intecept since a vertical line never crosses the y-axis. If it runs directly through the y-axis (x = 0) then it technically intersects the y-axis and has many y-intercepts.

• The slope of a vertical line is undefined because the denominator of the slope (the change in ΔX) 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.

### Sources

“Vertical Line.” Math Warehouse, www.mathwarehouse.com/algebra/linear_equation/vertical-line.php.

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