Question

HELP!!!

What is the equation of the perpendicular bisector of the segment joining points A(2, 2) and B(6, 8)?

Answer 1

1st we need to find the midpoint of the coordinates above
(2,2)(6,8)
midpoint : x1 + x2/2 , y1+y2/2)
midpoint: (4,5)

now we need to find the slope of the perpendicular line which is the slope of the reciprocal of the original coordinates

Slope = 6/4
Slope = 3/2

the reciprocal for that is -2/3

Now we have the slope as -2/3 and the line would pass through (4,5)

use
y - y1 = m(x - x1)
m is the slope
substitute to get the equation of the perpendicular line
y - 5 = -2/3(x - 4)
y - 5 = (-2/3)x + 8/3
y = (-2/3)x + 23/3

Answer 2

thank you bro!!!

Answer 3

No problem