SOLUTION: Find a general form of an equation for the perpendicular bisector of the segment AB. A(4,-4),B(-2,4)

Question 583461: Find a general form of an equation for the perpendicular bisector of the segment AB. A(4,-4),B(-2,4)
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
x1 y1 x2 y2
4 -4 -2 4

slope m = (y2-y1)/(x2-x1)
( 4 - -4 )/( -2 - 4 )
( 8 / -6 )
m= -4/3
The slope of a perpendicular line will be the negative reciprocal of this slope
=3/4
slope = 3/4 and it passes through the midpoint of the above two points
mid point formula
x= (x1+x2)/2 = (4-2)/2=1
y=0
the point is (1,0)
slope = 3/4, point = (1,0)
substitute in y=mx+b
0=3/4 *1+b
b=-3/4
the equation is y=(3/4)x-3/4

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

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

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

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

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

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

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)

Find the equation of the perpendicular bisector of the segment AB, if A(1, 2) and B(�3, (answered by mananth)