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Which of the following equations describe a line that passes through the points $(a,3)$ and $(1,b)$? Select ALL that apply.

A

$y-b=\cfrac{3-b}{a-1}(x-a)$

B

$y-3=\cfrac{3-b}{a-1}(x-a)$

C

$y-b=\cfrac{b-3}{1-a}(x-1)$

D

$y-b=\cfrac{3-b}{a-1}(x-1)$

E

$y-3=\cfrac{3-b}{a-1}x-a$

F

$y-b=\cfrac{3-b}{a-1}x-1$

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