Side AB of parallelogram ABCD has endpoints at (-1,6) and (6,9). What is the slope of the opposite side, CD?

Mathematics

1 answer:

Butoxors [25]3 years ago

8 0

Answer:

3/7

Step-by-step explanation:

Opposite sides on a parallelogram are parallel, and parallel lines have the same slope, so once we find the slope of AB, we'll know the slope of CD. Point A is (-1,6) and point B is (6,9), so the slope of AB (and by extension, CD) is

$\dfrac{9-6}{6-(-1)}=\dfrac{3}{7}$

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