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When a line segment connecting two points is horizontal the length of the segment can be found by finding the absolute value of the difference in x-coordinates of the two points.
A straight line is the shortest distance between two points, a line is the delineation of a connection between two or more points.
The run (not runs - which means diarrhoea) is the horizontal change between two points.
zero is horizontal, undefined is vertical
Yes, but only if they are exactly vertical and exactly horizontal (90 degrees angular difference). For real-world examples, many vertical lines can be perpendicular to a single "horizontal" curved line at the points of intersection.