Answer:
OPTION D: (-1, 10)
Step-by-step explanation:
The equation of a line in standard form is given by: [tex]$ \textbf{y} \textbf{-} \textbf{y}_\textbf{1} \hspace{1mm} \tetxbf{=} \hspace{1mm} \tetxtbf{m}(\textbf{x - x}_{\textbf{1}}) $[/tex]
Here, m is the slope of the line.
[tex]$ (x_1, y_1) $[/tex] is the point on the line.
Therefore, comparing it with the given data:
[tex]$ y - 2= -\frac{2}{3}(x - (-1)) $[/tex]
[tex]$ \implies y_1 = -2 $[/tex]
[tex]$ \& \hspace{2mm} x_1 = -1 $[/tex]
Hence, the point on the line is: (-1, 2).
Hence, the answer.
