Answer
$a=2,b=1$
Work Step by Step
Plugging in the given points' coordinates, our equations are:
$2=\frac{a}{0^2+b}=\frac{a}{b}\\2b=a$ and $1=\frac{a}{1^2+b}=\frac{a}{1+b}\\1+b=a$
Thus $1+b=2b\\b=1$
And $a=2(1)=2$
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