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There is no name for it except "A line perpendicular to a line segment and passing through its midpoint".
find the slop of the line passing through (1,5) and (0,2)
If the line passing through these points is a straight line then it has a positive gradient.
It is an indication that the string of digits under the horizontal line repeats for ever.
The line passing through the center of a circle with two endpoints on the circle is the circle's diameter.