Horizontal line slope
zero
The slope of a horizontal line is 0. This is because a horizontal line has the same y-coordinate for every point along it. Therefore, the change in y (the rise) is always zero. The formula for slope is rise over run; since the rise is zero, the slope becomes zero.
For example, in the graph below, the line AB is a horizontal line with equation y = 2. Any two points on this line will have the same y-coordinate of 2, so the rise will always be 0. Therefore, the slope of line AB is 0.
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A B
y-axis x-axis
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