# Perpendicular Bisector Calculator

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 degree.
Perpendicular Bisector Calculator
 X Y A: B: Perpendicular Bisector Equation:
Formula
y-y1 = m(x-x1
The bisector can either cross the line segment it bisects, or can be a line segment or ray that ends at the line.

Examples:
Lets find perpendicular bisector equation with points P(3,4), Q(6,6). Consider the co-ordinates of the points P and Q to be x1,y1 and x2,y2 respectively. We need to calculate the midpoints of the line PQ, which is F, and the slope to find the equation of the perpendicular bisector.

Step 1:
Lets calculate the midpoint of the line which is the average of the x and y co-ordinates.
Midpoint of a line = x1+x2/2, y1+y2/2
Midpoint of PQ = 3+6/2, 4+6/2 = (9/2, 10/2)

Step 2:
Next, we need to find the slope of the line PQ using the formula y2-y1/x2-x1. Kindly note that the slope is represented by the letter 'm'.
Slope of PQ (m) = 6-7/6-5 = -1. =6-4 /6-3 = 2/3 =0.4

Step 3:
Now, lets calculate the slope of the perpendicular bisector (AB) of the line PQ. The slope of the perpendicular bisector = -1/slope of the line.
Therefore for AB= -1/0.4   = -2.5

Step 4:
Once we find the slope as above, we can find the equation with the slope and the midpoints.
Lets find the equation of the AB with midpoints (9/2,10/2) and the slope -2.5. Formula to find the equation: y-y1 = m(x-x1) y-10/2 = -2.5(x-9/2)
By solving the above, we get the equation y-5 = -2.5 (x-9/2). This is the perpendicular bisector equation (AB) of the line PQ.mpound interest allows your money to earn even more money over time.

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