Slope
The slope of a horizontal line is 0. Because if you use the equation rise/run if the run=0 then you only have a rise value. Therefore if you were to graph it you would only have a y value.
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The slope of a vertical line is Undefined. Because when you use the equation rise/run if the rise value=0 you only have a run value. Therefore if you were to graph it you would only have a x value.
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Equation
The equation of a horizontal line is always y=___. This is because there is always the same y value throughout the line. So, if you were asked to plot a horizontal line that went through (2,7) it would be y=7
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The equation of a vertical line is always x=___. This is because there is always the same x value throughout the line. So, if you were asked to plot a vertical line that went through (7,8) it would be x=7
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Function/Not a Function
A horizontal line is a function but not one to one. This is because the line only repeats in the range not the domain. You can also tell from the “vertical line test”.
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A vertical line is not a function. This is because the line repeats in the domain and range. You can also tell by doing the “vertical line test”.
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Domain and Range
The domain and range for a horizontal line is Domain: All Real Numbers Range: =y value. This is due to the line going forever in the domain but staying on the same y value forever.
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The domain and range for a vertical lines is Domain: =x value Range: All Real Numbers. This is due to the line going forever in the range but staying on the same x value forever.