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The midpoint of a line segment between two points is the average of the coordinates of the end points.
Midpoint = ((x1, y1) + (x2, y2))/2
= ((x1+x2)/2, (y1+y2)/2)
The slope of the given line segment is the change in y values divided by the change in x values.
M = (y2 - y1)/(x2 - x1)
The equation for the perpendicular bisector of the given line segment will be a line with slope -1/m through the midpoint.
(y - (y1+y2)/2) = (x1 - x2)/(y2 - y1)(x - (x1+x2)/2)
This equation can be rearranged to any other form you may require.
Midpoint = ((x1, y1) + (x2, y2))/2
= ((x1+x2)/2, (y1+y2)/2)
The slope of the given line segment is the change in y values divided by the change in x values.
M = (y2 - y1)/(x2 - x1)
The equation for the perpendicular bisector of the given line segment will be a line with slope -1/m through the midpoint.
(y - (y1+y2)/2) = (x1 - x2)/(y2 - y1)(x - (x1+x2)/2)
This equation can be rearranged to any other form you may require.
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