Question

ABCD is a rectangle on a coordinate grid with side AB parallel to side CD and side BC parallel to side AD. If the slope of side AB is 2/7, what is the slope of side BC?

Answer 1

The answer would be 2/7

Answer 2

The slope of BC is -7/2.

Explanation:

Givens

ABCD is a rectangle.

AB
`\parallel` CD

BC
`\parallel` AD.

`m_(AB) =(2)/(7)`

We know that
`AB \perp BC` and
`CD \perp AD`, by definition of rectangle.

Additionally,
`m_(AB) * m_(BC)=-1`, by condition of perpendicularity.

Replacing, we have

`(2)/(7) * m_(BC)=-1\\ m_(BC)=-(7)/(2)`

Therefore, the slope of BC is -7/2.