\[y = kx + b;\ \]
\[( - 3;0):\]
\[0 = - 3k + b\]
\[3k = b\]
\[k = \frac{b}{3};\ \]
\[(0\ ;6):\]
\[6 = 0k + b\]
\[b = 6.\]
\[k = \frac{b}{3} = \frac{6}{3} = 2.\]
\[Уравнение:y = 2x + 6.\]