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The slope of a linear function determines both the direction and the steepness of the line.
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SUPPORTED
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5 sources for · 0 against
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Is it true that the slope of a linear function determines both the direction and the steepness of the line?
Yes. The slope of a linear function mathematically dictates both the line's orientation (direction) and how quickly it rises or falls (steepness).
Verdict: SUPPORTED · 5 sources for, 0 against · Last checked
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Evidence for · 5
Reference article covering this claim directly
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Wikipedia: Slope. (n.d.). Wikipedia. https://en.wikipedia.org/wiki/Slope
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More for · 4
Explicitly states that slope measures both the steepness and the direction of a line.
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LibreTexts: LibreTexts: 1.9.12%3A Basic Functions. (n.d.). LibreTexts. https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/01%3A_Introduction_to_Physics_Measurements_and_Mathematics_Tools/1.09%3A_Math_Review_of_Other_Topics/1.9.12%3A_Basic_Functions
Confirms that the slope measures both the steepness and the direction of a line.
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OpenStax: OpenStax Calculus Volume 1: 1.2 Basic Classes of Functions. (n.d.). OpenStax. https://openstax.org/books/calculus-volume-1/pages/d39e9c40-7f01-4254-aaa8-8da23ce7621b@
Explains how the slope value determines steepness and line direction.
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Wikibooks: Wikibooks: Algebra/Chapter 6/Slope. (n.d.). Wikibooks. https://en.wikibooks.org/wiki/Algebra/Chapter_6/Slope
Shows the sign determines direction and absolute value determines steepness.
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Simple English Wikipedia: Simple English Wikipedia: Linear function. (n.d.). Simple English Wikipedia. https://simple.wikipedia.org/wiki/Linear_function
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