Answer:
Slope, m = [tex]$ \frac{\textbf{-2}}{\textbf{3}} $[/tex].
Step-by-step explanation:
The slope of the line can be determined by simplifying the given equation to its standard form.
In the standard form, y = mx + c, m represents the slope of the line.
We are given: [tex]$ y - 2 = - \frac{2}{3}(x + 1) $[/tex]
[tex]$ \implies y = -\frac{2}{3}x - \frac{2}{3} + 2 $[/tex]
[tex]$ \implies y = - \frac{2}{3}x + \frac{(-2 + 6)}{3} $[/tex]
[tex]$ \implies y = -\frac{2}{3}x + \frac{4}{3} $[/tex]
Comparing it with the standard equation, we can see that the slope, m = [tex]$ \frac{\textbf{-2}}{\textbf{3}} $[/tex].
Hence, the answer.
