SOLUTION: Find a general form of an equation for the perpendicular bisector of the segment AB.A(8,4)B(-4,14)

Question 579216: Find a general form of an equation for the perpendicular bisector of the segment AB.A(8,4)B(-4,14)
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
.A(8,4)B(-4,14)
First find the midpoint co ordinates (x,y)
x= (x1+x2)/2
y=(y1+y2)/2
x=(8-4)/2 = 2
y= (14+4)/2 = 9
The perpendicular bisector passes through (2,9)
Find the slope of the line, A(8,4)B(-4,14)
x1 y1 x2 y2
8 4 -4 14

slope m = (y2-y1)/(x2-x1)
(14-4)/(-4-8)
( 10 / -12 )
m= - 5/ 6
the line perpendicular to this line will have a slope of (6/5) ( negative reciprocal)
The slope of the perpendicular line is (6/5) and it passes through (2,9)
m= 6/ 5

Plug value of the slope and point( 2 , 9 ) in
y=mx+b
9.00 = 6/5 * 2 +b
b= 9-12/5

b= 33/ 5
So the equation will be
Y = 6/5 x + 33/5

m.ananth@hotmail.ca

RELATED QUESTIONS
Find a general form of an equation for the perpendicular bisector of the segment AB.... (answered by ewatrrr)

Find a general form of an equation for the perpendicular bisector of the segment AB.... (answered by mananth)

Please help me with this problem. Find a general form of an equation for the... (answered by josgarithmetic,MathTherapy)

Find an equation of the perpendicular bisector of the lina segment... (answered by Alan3354,drk)

FInd the equation of the perpendicular bisector of the interval AB, where A(-3, 4) and B... (answered by Theo)

Find an equation in general form of the perpendicular bisector of the line segment with... (answered by mananth)

find an equation of the perpendicular bisector of line segment AB: A(-9,-3),... (answered by venugopalramana)

Write an equation for the perpendicular bisector of the line segment connecting A(-1, 4)... (answered by ankor@dixie-net.com)

x+y=4 is the perpendicular bisector of AB where A=(3,-3). Find... (answered by josgarithmetic)