When is a slope undefined or zero?
Understand the Problem
The question is asking about the conditions under which a slope is classified as undefined or zero. In mathematical terms, a slope is zero when a line is horizontal, and it is undefined when a line is vertical. This is likely related to concepts of algebra and geometry.
Answer
A slope is undefined when the line is vertical, and the slope is 0 when the line is horizontal.
A slope is undefined when the line is vertical, and the slope is 0 when the line is horizontal.
Answer for screen readers
A slope is undefined when the line is vertical, and the slope is 0 when the line is horizontal.
More Information
In a coordinate plane, a vertical line indicates an undefined slope because the change in x is 0, making the slope calculation division by zero. Conversely, a horizontal line has no vertical change, meaning the change in y is 0, equating the slope to 0.
Tips
Don't confuse the undefined slope with a zero slope; vertical lines rise infinitely without running horizontally, while horizontal lines run infinitely without rising.
Sources
- Understanding Slope - Math is Fun - mathsisfun.com
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