Answer:
OPTION D: (-1, 10)
Explanation:
The equation of a line in standard form is given by:
![$ \textbf{y} \textbf{-} \textbf{y}_\textbf{1} \hspace{1mm} \tetxbf{=} \hspace{1mm} \tetxtbf{m}(\textbf{x - x}_{\textbf{1}}) $](https://img.qammunity.org/2021/formulas/mathematics/middle-school/psfoeo74tjzcc0e5x6wbn4ppstyfrvo1tg.png)
Here, m is the slope of the line.
is the point on the line.
Therefore, comparing it with the given data:
![$ y - 2= -(2)/(3)(x - (-1)) $](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9okdk7hh0n0zx77xl8hqtnfgaguu4ihcdn.png)
![$ \implies y_1 = -2 $](https://img.qammunity.org/2021/formulas/mathematics/middle-school/y6un00y8n6u3v9w8xelklklmuiju5v169n.png)
![$ \& \hspace{2mm} x_1 = -1 $](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jc97cd5tvie5mk3b0pd3ue67jrbggj2w0s.png)
Hence, the point on the line is: (-1, 2).
Hence, the answer.