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Side AB of parallelogram ABCD has endpoints at (-1,6) and (6,9). What is the slope of the opposite side, CD?
A. 7/3
B. -7/3
C. 3/7
D. -3/7

Respuesta :

highwireact

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

[tex]\dfrac{9-6}{6-(-1)}=\dfrac{3}{7}[/tex]