From the given graph, let's find the slope of the line.
To find the slope of the line, apply the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Take two points on the line:
(x1, y1) ==> (-6, 4)
(x2, y2) ==> (3, -2)
To find the slope, we have:
[tex]\begin{gathered} m=\frac{-2-4}{3-(-6)} \\ \\ m=\frac{-6}{3+6} \\ \\ m=\frac{-6}{9} \\ \\ m=-\frac{2}{3} \end{gathered}[/tex]
Therefore, the slope of the line is:
[tex]-\frac{2}{3}[/tex]
ANSWER:
[tex]-\frac{2}{3}[/tex]
