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Archy [21]
3 years ago
6

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?
Mathematics
2 answers:
fiasKO [112]3 years ago
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]3 years ago
4 0
The answer would be 2/7
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