Enter Values in the given input box to find the Perpendicular bisector equation using our Perpendicular bisector calculator.

## Perpendicular bisector definition

Perpendicular Bisector is the division of something into two equal or congruent parts. It is a line, ray, or segment which cuts another line segment into two equal parts at 90 degrees.

The perpendicular bisector equation can be effortlessly calculated using the perpendicular bisector calculator. Constructing a perpendicular bisector could be convenient if you know how to use a compass?

Perpendicular bisector equation Formula

y-y1 = m(x-x1)

**Input Data :**

Coordinates 1 (x_{1}, y_{1}) = (2, 3)

Coordinates 2 (x_{2}, y_{2}) = (8, 7)

**Objective :**

Find what is the perpendicular bisector of a line?

**Formula :**

y – y_{1} = m (x – x_{1})

x1 & y1 are midpoint of the co-ordinates

m is slope of the line

**Solution :**

Midpoint of the straight line

Midpoint =(x_{1} + x_{2}2 , y_{1} + y_{2}2)

=(2 + 82 , 3 + 72)

=(102 , 102)

Midpoint = (5, 5)

Find what is the slope of given line

Slope =y_{2} – y_{1}x_{2} – x_{1}

=7 – (3)8 – (2)

=46

Find the negative reciprocal as follows

m =-14/6

m = -1.5

Use the values to arrange perpendicular bisector equation

y – y_{1} = m (x – x_{1})

y – 5 = -1.5 (x – 5)

y – 5 = -1.5x + 7.5

y = -1.5x + 7.5 + 5

y = -1.5x + 12.5

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## Perpendicular Bisector Calculator

** Perpendicular Bisector Calculator** is an online tool for geometry calculation programmed to find out the perpendicular bisector of a line according to the given coordinates (x

_{1}, y

_{1}) and (x

_{2}, y

_{2}). In Geometry, a perpendicular bisector is a group of points that are equidistant from coordinates (x

_{1}, y

_{1}) and (x

_{2}, y

_{2}). The shape of the group always forms a line. Any point on the perpendicular bisector is as far from coordinates (x

_{1}, y

_{1}) as from coordinates (x

_{2}, y

_{2}). The given line coordinates (x

_{1}, y

_{1}) and (x

_{2}, y

_{2}) in the XY plane are used in this calculator to find out the perpendicular bisector of a line. Govt Jobs