Slope of Horizontal Line

Discussion in 'Off-Topic Chat' started by nycmathguy, Jul 31, 2022.

  1. nycmathguy

    nycmathguy

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    Why is the slope of a horizontal line zero?
    Can you provide a geometric interpretation?
     
    nycmathguy, Jul 31, 2022
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  2. nycmathguy

    MathLover1

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    When two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0.

    [​IMG]
     
    Last edited: Jul 31, 2022
    MathLover1, Jul 31, 2022
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  3. nycmathguy

    nycmathguy

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    On a horizontal line, the y-value remains constant while the value of x changes indefinitely. Can we say the slope is 0 because, at the meeting place, the point is (0, y)?
     
    nycmathguy, Aug 1, 2022
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  4. nycmathguy

    MathLover1

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    you know that slope is (y2-y1)/(x2-x1)
    if points are (0, 3) and (3, 3), slope is (3-3)/(3-0)=0/3=0
     
    MathLover1, Aug 1, 2022
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  5. nycmathguy

    nycmathguy

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    Yes. Why I didn't see that is a sign of old age. LOL. I should know better than that as a college algebra self-study student.
     
    nycmathguy, Aug 1, 2022
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