Chapter 8 Rational Functions - 8.3 Graph General Rational Functions - 8.3 Exercises - Skill Practice - Page 569: 30

$a=-6,b=-3$

Plugging in the given points' coordinates, our equations are: $-1=\frac{a}{(-3)^2+b}=\frac{a}{9+b}\\-9-b=a$ and $-6=\frac{a}{2^2+b}=\frac{a}{4+b}\\-24-6b=a$ Thus $-9-b=-24-6b\\5b=-15\\b=-3$ And $a=-9-(-3)=-6$