Define undefined slope

The slope of a line is the measure of its steepness. We can understand this better by considering the example of roads i n hilly terrain.

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. 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.

Define undefined slope

The undefined slope is the slope of a vertical line. The x-coordinates do not change, no matter what y coordinates are. The vertical lines rise straight up or fall straight down, whereas they don't run left or right. The slope is the ratio of the change in y coordinates to the change in x coordinates. Since there is no change in x coordinates, for a vertical line, the denominator is zero which makes the slope undefined, or the slope cannot exist. The straight line that is either parallel to the y-axis or that coincides with the y-axis is the vertical line. For vertical lines, there is no run at all, thus making the denominator zero. We get an undefined slope. When the x values are the same for the vertical lines , there could be no change in the value of x. It denotes that every point on the line has the x coordinates as 'a' throughout, regardless of the points picked. In particular, 'a' denotes the x-intercept, i.

Since there is no change in x coordinates, for a vertical line, the denominator is zero which makes the slope undefined, or the slope cannot exist.

Online Math Solver ». IntMath f orum ». Slope is an important concept in both algebra and geometry. It measures the steepness of a line and is used to help solve problems related to linear equations. When it comes to geometry, the slope of a line is determined by two points on the line, the rise and the run.

Welcome to another exciting exploration with Brighterly! We believe that every mathematical concept has a story waiting to be unveiled, a riddle yearning to be unraveled. As we stand on the threshold of another adventure, let us delve deep into the mesmerizing world of Undefined Slope. Tailored especially for the inquisitive young minds that frequent Brighterly, this journey promises not only knowledge but also the joy of discovery. So, fasten your seatbelts, as we set off to unearth the treasures that the concept of Undefined Slope has in store for us! Have you ever wondered what happens when you try to climb a wall instead of a hill?

Define undefined slope

The undefined slope is the slope of a vertical line. The x-coordinates do not change, no matter what y coordinates are. The vertical lines rise straight up or fall straight down, whereas they don't run left or right. The slope is the ratio of the change in y coordinates to the change in x coordinates.

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As mentioned, slope measures the steepness of a line. Thus the slope of such a line will be undefined. Undefined Slope Equation 3. Examples of Undefined Slope Example 1: Find the equation of the line that passes through 1,2 , with an undefined slope. We calculate the rise over run and find that there is no run or no change in x coordinates. How to convert slope into standard form? Math worksheets and visual curriculum. Maths Games. Continuous and Discontinuous Functions 8. What is an undefined slope? Select your child's grade in school:. Email Address Sign Up. Hire With Us. The lines that are parallel to the y-axis, are perpendicular to the x-axis.

A large positive slope, for example, means that the line rises from left to right very quickly. But considering this, how can we have an undefined slope?

Great learning in high school using simple cues. A zero slope is that of a horizontal line. You can suggest the changes for now and it will be under the article's discussion tab. Let us understand the undefined slope and undefined slope graph with a few examples. The graph is a horizontal line. Tips, tricks, lessons, and tutoring to help reduce test anxiety and move to the top of the class. Read More Read Less. A slope is undefined for a vertical line. Functions and Graphs. Privacy Policy. Explain why this line cannot be represented in slope-intercept form. We calculate the rise over run and find that there is no run or no change in x coordinates. Frequently Asked Questions.