\(a,k=\dfrac{y}{x}=-\dfrac{6}{3}=-2\\ b,y=-2x\\ c,x=1\Rightarrow y=-2.1=-2\\ x=2\Rightarrow y=-2.2=-4\\ \left(2x+1\right)^2=81\Rightarrow\left[{}\begin{matrix}2x+1=9\\2x+1=-9\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=4\Rightarrow y=-2.4=-8\\x=-5\Rightarrow y=-5\left(-2\right)=10\end{matrix}\right.\)