## Perpendicular bisector equation online calculator

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### App description

The perpendicular bisector is the vertical bisector.

The straight line passing through the midpoint of a line segment and perpendicular to this line segment is called the vertical bisector (the vertical line) of this line segment (English: perpendicular bisector)

The vertical bisector, referred to as the “middle vertical line”, is a very important part of the junior high school geometry. Use a straight line to divide a line segment from the middle into two equal line segments, and perpendicular to the segmented line segment, this straight line is called the perpendicular bisector of this line segment. It is usually done by drawing a compass and a ruler.

Let the coordinates of the two endpoints of the line segment be (x1, y1), (x2, y2)

The vertical bisector equation can be obtained by equalizing the distance from any point on the line to the two endpoints:

$$(x-x1)^2+(y-y1)^2=(x-x2)^2+(y-y2)^2$$

$$2(x1-x2)x+2(y1-y2)y=x1^2+y1^2-x2^2-y2^2$$

### Usage example

A: 5；3

B: 2；4

Click "calculate" to output the result

The equation of perpendicular bisector : y = 3x - 7