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The slope of a line is defined as the rate of change on the vertical, or y axis, divided by the rate of change on the horizontal, or x axis.
This is more commonly expressed as:
Δy/Δx
For example, a diagonal line that lies at a 45° angle relative to the horizontal axis will have a slope of 1/1 = 1.
In the case of a horizontal line, it's rate of change on the y axis will be zero, this means that it's slope will be 0/Δx. Zero divided by anything equals zero, so that ends up being the slope of the line.
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What is a slope of 0?
A horizontal line has a slope of 0. If you're using the slope formula, then when the numerator is equal to 0 then the slope is 0.
What is the slope for every horizontal line?
Zero (0).
Sketch a graph with a slope of 0?
It is a horizontal line.
What is the slope of y equals 4?
Zero. Y=4 is a horizontal line.
Do horizontal lines have an undefined slope?
No. The slope of a horizontal line is zero. The slope of a vertical line is undefined.
