Question

Write an equation of the perpendicular bisector of JK, where J = (−8, 4) and K = (4, 4)

Answer 1

Slope of line JK is,

(4-4)/(4-(-8)) =0

Since , slope of line JK is zero,

This implies,

Slope of perpendicular bisector will be infinity or, undefined.

And , equation of line with infinity slope is given as,

x=c,

Where 'c' is a constant.

Now, to find 'c',

As mid point of line JK will meet at perpendicular bisector ,so x-coordinate of mid point of line JK will be the value of 'c',

And x - coordinate of mid point for line JK will be,

x- coordinate of mid point =(-8+4)/2 =-2

Therefore ,

Equation of perpendicular bisector is,

x=-2

Or,

x+2=0

Or,

Equation of perpendicular bisector is ,

x+2=0