SOLUTION: Write an equation of the line that is the perpendicular bisector of the line segment having endpoints (3,-1) and (3,5).

Algebra.Com
Question 709805: Write an equation of the line that is the perpendicular bisector of the line segment having endpoints (3,-1) and (3,5).
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Write an equation of the line that is the perpendicular bisector of the line segment having endpoints (3,-1) and (3,5).
------
slope of line thru given points: (5--1)/(3-3) = undefined
----
Therefore slope of perpendicular bisector: m = 0
-------------------
Midpoint of given segment:
x = (3+3)/2 = 3
y = (-1+5)/2 = 2
----
Midpoint is (3,2)
---
If slope = 0, the line is a horizontal line thru (3,2)
---
Equation of perp/bisector: y = 2
======================================
Cheers,
Stan H.
============================

RELATED QUESTIONS

Write an equation in standard form of the line that is the perpendicular bisector of the... (answered by checkley71)
write an equation of the perpendicular bisector of the line segment whose endpoints are... (answered by ewatrrr)
Write the equation of the perpendicular bisector to the line segment with endpoints (-1,... (answered by josmiceli)
Write the equation of the perpendicular bisector of the line segment with endpoints... (answered by MathLover1)
Please help me Find the equation of perpendicular bisector of line segment with endpoints (answered by stanbon)
write an equation of the perpendicular bisector of the line segment whose endpoints are... (answered by lwsshak3)
Indicate the equation of the line that is the perpendicular bisector of the segment with... (answered by josgarithmetic)
Write an equation for the perpendicular bisector of the line segment connecting A(-1, 4)... (answered by ankor@dixie-net.com)
what is the equation of the perpendicular bisector of the segment with endpoints A(-1,-3) (answered by josgarithmetic)