Perpendicular Bisector Calculator  

Examples:
Lets find perpendicular bisector equation with points P(3,4), Q(6,6). Consider the coordinates 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 coordinates.
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 y2y1/x2x1. Kindly note that the slope is represented by the letter 'm'.
Slope of PQ (m) = 67/65 = 1. =64 /63 = 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: yy1 = m(xx1) y10/2 = 2.5(x9/2)
By solving the above, we get the equation y5 = 2.5 (x9/2). This is the perpendicular bisector equation (AB) of the line PQ.mpound interest allows your money to earn even more money over time.