Length of Perpendicular

-1.5x + 12.5

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GENERATE WORK

GENERATE WORK

**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

** 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