# Slope of Horizontal Line

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

1. ### nycmathguy

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Why is the slope of a horizontal line zero?
Can you provide a geometric interpretation?

nycmathguy, Jul 31, 2022

2. ### 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.

Last edited: Jul 31, 2022
MathLover1, Jul 31, 2022
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3. ### 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
4. ### 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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