Question

The endpoints of line AB are A(2, 3) and B(8, 1). The perpendicular bisector of Line AB is line CD, and point C lies on . The length of is units. The coordinates of point C are . The slope of is . The possible coordinates of point D are and .

Answer 1

The coordinates of C are (5 , 2)

The slope of CD is 3

The coordinates of D are (6 , 5) and (4 , -1)

Explanation:

Answer 2

Explanation:

Given that the endpoints of line AB are A(2, 3) and B(8, 1).

Mid point of AB=
`(5.2)`

C lies on AB

Coordinates of C = (5,2)

The point D would lie on a line and DA = DB for all D

i.e. D would lie on a straight line passing through (5,2) and having slope =-1/slopeof AB = 3

Hence equation of CD is

y-2 = 3(x-5)

y =3x-13