Question

what is the equation of the perpendicular bisector of the line between the poins (2,2)and (6,6).

Answer 1

Equation of a line through the two points is

Cancell the common terms.

Add 2 to each side.

Slope of the line through given points is 1.

y  =  x line x  and y  intercepts are zero.

y  =  x  line passes through also origin.

We know that perpendicular line slopes are negitve reciprocal to each other.

So perpendicular line slope = - 1.

We need y  intercept of perpendicular bisector to determine it 's equation.

The possible perpendicular bisector if x  and y  intercepts are zero.

Required line equation y  = - x.