Question

The endpoints of a side of rectangle ABCD in the coordinate plane are at A (2,9) and

B (6, 1). Find the equation of the line that contains the given segment.
The line segment is AD.
The equation is y =

Answer 1

y =
`(1)/(2)` x + 8

Explanation:

A(2, 9)

B(6, 1)

`m_(AB)` =
`(1-9)/(6-2)` = - 2

AB ⊥ AD ⇒
`m_(AD)` =
`(1)/(2)`

A(2, 9)

y - 9 =
`(1)/(2)` (x - 2)

y =
`(1)/(2)` x + 8