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?

Question

asked Jan 26, 2018 211k views

2 Answers

Zmike · Answer 1 · 2018-02-02T16:23:06+0000

Answer:

Explanation:

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.