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.
The slope of a straight line can be described as the “rise” (the vertical change) over the “run” (the horizontal change) when you move along the line. When a line is parallel to the y-axis, it means it goes straight up and down and it’s perpendicular to the x-axis which goes side to side. This perpendicular angle is 90 degrees. In this case, the tangent of 90 degrees is undefined. An undefined slope corresponds to a vertical line, and its equation is x = a, where ‘a’ is a constant that represents the x-coordinate of the intercept point on the x-axis.
Let’s understand this better with an example:
As we can clearly see in this figure that the slope by the points (3, 2)0 and (3, -3) have an undefined slope.
This is how we can graphically represent any question and find that whether the slope is undefined or not.
Undefined Slope Formula
To identify an undefined slope, you can look at the linear equation’s form. If it’s in the form ‘x = a,’ where ‘a’ is a constant then the slope is undefined indicating a vertical line.
The formula for identifying an undefined slope is straightforward: if you have a linear equation in the form ‘x = a,’ where ‘a’ is a constant, the slope is undefined. This implies that the line is vertical and is parallel to the y-axis.
Undefined Slope Examples
Examples of undefined slope include vertical lines such as x = 7 where ‘x’ is a constant. In these cases, the slope is undefined because the line goes straight up and down, making it impossible to quantify its steepness with a single number. The slope is undefined because the line runs straight up and down.
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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