\[y = kx + b;\ \ A\ (10;\ - 9);\ \ B\ ( - 6;7).\]
\[\left\{ \begin{matrix} - 9 = 10k + b\ \ \ \ (1) \\ 7 = - 6k + b\ \ \ \ \ \ \ (2) \\ \end{matrix} \right.\ \]
\[(1) - (2) \Longrightarrow - 16 = 16k,\ \ k = - 1.\]
\[\left\{ \begin{matrix} k = - 1\ \ \ \ \ \ \\ b = 7 + 6k \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ \ }\left\{ \begin{matrix} k = - 1\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ b = 7 + 6 \cdot ( - 1) \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} k = - 1 \\ b = 1\ \ \ \\ \end{matrix} \right.\ \]
\[Уравнение\ прямой:\]
\[y = - x + 1.\]