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.
Below are the differences between zero slope and undefined slope in tabular form for better understanding:
Aspect | Zero Slope | Undefined Slope |
---|---|---|
Symbolically | m = 0 | Not applicable (no defined slope value) |
Geometric Interpretation | A line with zero slope is horizontal and parallel to the x-axis. | There is no line with an undefined slope; this situation typically arises in vertical lines. |
Angle with the x-axis | Forms a 0-degree angle with the x-axis. | Does not form an angle with the x-axis. |
Equation of Line | y = constant (horizontal line) | x = constant (vertical line) |
Graph | A horizontal line. | A vertical line. |
Slope Calculation | Δy / Δx = 0 | Not applicable (division by zero error) |
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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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