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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. Let us understand the undefined slope and undefined slope graph with a few examples.
Nov 30, 2023 · 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.
As the denominator is zero, the slope is undefined. Example `3`: Draw the graph for the line ` x = 4 ` and find its slope. Solution: Since the equation ` x = 4 ` represents a vertical line, the slope of the line is undefined. Example `4`: Find the slope of the graph given below. Solution: The slope of the graph is undefined.
Therefore, the slope of the graph is undefined and hence John’s calculation is not correct. Example 3: Identify the lines with zero slope and undefined slope. Solution: The graph of ‘ line a’ and ‘ line y = 2’ is a horizontal line. Hence, ‘ lines a and y = 2’ have a zero slope. The graph of ‘ line b’ and ‘ line x = -5’ is
a linear equation in slope-intercept form (y = mx + b). • positive slope indicates the line is heading up. • negative slope indicates the line is heading down. • the slope of a horizontal line is zero. • the slope of a vertical line is undefined. EXAMPLES: Slope Interactive Graph
Nov 21, 2023 · Understand the definition of undefined slope and zero slope. Learn how to identify if a slope is undefined, and explore how the graphs for zero slope lines and undefined slope lines look. Updated ...
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Therefore, the slope formula will always result in division by zero and therefore the slope will be undefined. Summary. We have seen how the slope of a line may be undefined. The other possibilities when calculating the slope are: Negative slope – the line falls from left to right. Positive slope – the line rises from left to right. Zero ...
