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

Question

4 years ago

6

AB is 2/7, what is the slope of side BC?

2 answers:

fiasKO [112] · Answer 1 · 2021-12-14T21:57:26+03:00

8 0

Answer:

<h2>The slope of BC is -7/2.</h2>

Step-by-step explanation:

<h3>Givens</h3>

ABCD is a rectangle.

AB $\parallel$ CD

BC $\parallel$ AD.

$m_{AB} =\frac{2}{7}$

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

Additionally, $m_{AB} \times m_{BC}=-1$ , by condition of perpendicularity.

Replacing, we have

$\frac{2}{7} \times m_{BC}=-1\\ m_{BC}=-\frac{7}{2}$

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

sashaice [31] · Answer 2 · 2021-12-14T19:32:02+03:00

4 0

The answer would be 2/7