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Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Is the slope of the line shown 0?
The image contains a graph on a coordinate plane. **Graph Description:** - The graph marks the x-axis from -6 to 6 and the y-axis from -7 to 7. - There is a vertical line passing through x = 4, extending from y = -6 to y = 6, indicating the line is parallel to the y-axis. - The text on the image reads: "has slope 0." ### Explanation: - A vertical line has an undefined slope, not a slope of 0. A zero slope is characteristic of horizontal lines, which have a constant y-value. - This contradiction illustrates a common misconception: vertical lines do not have a slope of 0; they instead have an undefined slope because the change in x is zero. This graph is intended to help students understand the concept of slope and the behavior of vertical and horizontal lines in coordinate geometry.
Transcribed Image Text:The image contains a graph on a coordinate plane. **Graph Description:** - The graph marks the x-axis from -6 to 6 and the y-axis from -7 to 7. - There is a vertical line passing through x = 4, extending from y = -6 to y = 6, indicating the line is parallel to the y-axis. - The text on the image reads: "has slope 0." ### Explanation: - A vertical line has an undefined slope, not a slope of 0. A zero slope is characteristic of horizontal lines, which have a constant y-value. - This contradiction illustrates a common misconception: vertical lines do not have a slope of 0; they instead have an undefined slope because the change in x is zero. This graph is intended to help students understand the concept of slope and the behavior of vertical and horizontal lines in coordinate geometry.
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