Result
Data:
Formula:
Solution:
The perpendicular bisector calculator generates an equation of the line which bisects the line at 900.
Perpendicular means it will make an angle of 900 and the bisector means it will cut it into two equal parts. So the perpendicular bisector is a line that makes an angle of 900 and divides into two equal parts.
The equation of perpendicular bisector is:
y - y1 = m (x – x1)
Where x1 & y1 are the midpoints points of the given coordinate points and "m" is the slope of the line calculated by using the x & y coordinate points of the line.
To calculate the perpendicular line bisector equation the following calculation must be taken for getting the result.
Example:
Find the perpendicular bisector of the line having vertices (4, 16) and (12, 32).
Solution:
Step 1: We have to find the mid-point from the given vertices.
x1 = (XA + XB)/2
x1 = (4+16)/2
x1 =10
y1 = (YA + YB)/2
y1 = (12+32)/2
y1 = 22
So, the mid-point is (10,22).
Step 2: Now calculate the slope of the line.
m = (32 - 12)/ (16-4)
m = 1.67
Step 3: Now take the negative reciprocal of the slope to get the slope of the perpendicular line.
The slope of the perpendicular line is:
m = -1/m
m = -1/1.67
m = - 0.6
Step 4: Substitute the value in the general expression of the perpendicular bisector.
y - y1 = m (x – x1)
y – 22 = -0.6x + 6
y = -0.6x +28
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