[tex]y=kx+b\\\\A(-3;-11):\; \; -11=-3k+b\\\\B(4;10):\; \; 10=4k+b\\\\\left\{\begin{array}{c}-3k+b=-11\\4k+b=10\end{array}\right\; \ominus \; \left\{\begin{array}{l}-7k=-21\\b=10-4k\end{array}\right\; \; \left\{\begin{array}{l}k=3\\b=-2\end{array}\right\\\\\\\boxed {\; y=3x-2\; }[/tex]