We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

+0

# The equation of AB is y = 1/2x + 4

0
387
3

The point A has the coodinates (2 , 5)

The point B has the coodinates (6 , 7)

The equation of AB is y = 1/2x + 4

Find the equation of the perpendicular bisector to AB

Feb 25, 2018

### 3+0 Answers

#1
+1

We need to find the mid-point of AB....this is :

[  (2 + 6)/2, (5 + 7) /2)  =   ( 8 / 2, 12 / 2)   = (4, 6)

The perpendicular bisector will go through this point...and it will have a slope of -2

So .....its equation is

y  =  -2 ( x - 4)   + 6

y = -2x + 8 + 6

y = -2x + 14   Feb 25, 2018
#2
0

Can you explain where the x-4 came from please

YEEEEEET  Feb 25, 2018
#3
+1

The equation is

y  = m(x - h)  + k

Where m is the slope of the perpendicular bisector.....and ( h, k)  = ( 4, 6)  which is a point on the perpedicular bisector....in this case, it's the midpoint of AB   Feb 25, 2018