How To Find The Undefined Slope?

Undefined slope doesn’t require calculation because it’s inherent in the form of the equation. Below are the steps to Find The Undefined Slope:

  • To find undefined slope, any equation in the form ‘x = a’ where ‘a’ is a constant can be represented as a vertical line with an undefined slope.
  • When the slope is undefined, you simply recognise that the line is vertical and is parallel to the y-axis.
  • Undefined slope is represented as being a line perpendicular to the x-axis forming an angle of 90 degree with the x-axis.
  • Undefined slope has another distinguishing factor that its steepness cannot be quantified by a single number.

Undefined Slope

Undefined Slope as the name suggests is the slope of any curve or line where the change in vertical direction became exponentially too large compared to horizontal direction. Undefined Slope of any line or curve becomes increasingly steep, and its slope cannot be expressed as a finite numerical value.

In this article, we will discuss about undefined slope in detail along with the equation for undefined slope and how we can identify the undefined slope in graphs. We will also see some solved examples and practice problems on undefined slope equations.

Table of Content

  • What is Undefined Slope?
  • Undefined Slope Equation
  • Undefined Slope Graph
  • How To Find The Undefined Slope?
  • Zero Slope vs Undefined Slope

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What is Undefined Slope?

Undefined slope refers to a situation in which the slope of a line or curve cannot be determined or expressed as a finite numerical value. Undefined Slope typically occurs when the change in the vertical direction becomes infinitely large compared to the horizontal direction. For example, if we have any vertical line, slope of this line is undefined as with no change in horizontal direction there is infinitely large change in vertical direction....

Undefined Slope Equation

A line with an undefined slope is parallel to the y-axis going straight up and down. This corresponds to a 90° angle where the tangent is undefined. The equation for an undefined slope is x = a, where ‘a’ represents the x-coordinate of the intercept point on the x-axis....

Undefined Slope Graph

Graphically representing an undefined slope involves plotting points that reveal a perfectly vertical line indicating an undefined slope. Undefined slope occurs when the slope of a line is not defined and is represented by vertical lines in the form ‘x = a.’ The undefined slope is parallel to y-axis and perpendicular to x-axis forming an angle of 90 degree with the x-axis. Here, we have graphically represent the undefined slope at x = 5....

How To Find The Undefined Slope?

Undefined slope doesn’t require calculation because it’s inherent in the form of the equation. Below are the steps to Find The Undefined Slope:...

Zero Slope vs Undefined Slope

It’s important to distinguish between zero and undefined slopes. Zero slope represents a perfectly horizontal line, while undefined slope signifies a perfectly vertical line. In the case of zero slope, the line is flat and its incline is quantified as 0 while an undefined slope indicates a vertical line with no defined incline....

Solved Examples on Undefined Slope

Example 1: Represent the equation x = 2 and find it’s slope....

Practice Problems on Undefined Slope

Problem 1: Draw the equation x = 1 and find it’s slope....

FAQs on Undefined Slope

1. What is the Definition of Undefined Slope?...

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