Slopes of line segments.
Graph
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Formulas
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[math]\text{Horizontal line}\,[/math]
[math]\alpha =0\,[/math]
[math] \tan \alpha=0\,[/math]
[math] m=0\,[/math]
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[math]\text{Vertical line}\,[/math]
[math]\alpha =90^\circ\,[/math]
[math] \tan \alpha=\infty[/math]
[math] m=\text{Undefined}\,[/math]
[math]\text{A vertical line has no slope}\,[/math]
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[math]\text{Upward line from left to right}\,[/math]
[math]0 \lt \alpha \lt90^\circ\,[/math]
[math] 0\lt\tan \alpha\lt\infty[/math]
[math] m\gt0\qquad\text{Positive slope}\,[/math]
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[math]\text{Downward line from left to right}\,[/math]
[math]90^\circ\lt\alpha\lt180^\circ\,[/math]
[math] -\infty\lt\tan \alpha\lt0[/math]
[math] m\lt0\qquad\text{Negative slope}\,[/math]
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