Answer:
[tex]Slope (m) = -\frac{2}{3}[/tex]
Step-by-step explanation:
To find the slope of the line of the graph, pick any 2 points on the line as your coordinate pairs.
Thus, on the line, let's pick 2 points as our coordinate pairs at:
When x = -6, y = 5 => (-6, 5), and
When x = 3, y = -1 => (3, -1)
Let (-6, 5) be (x1, y1), and (3, -1) be (x2, y2)
[tex] Slope (m) = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] Slope (m) = \frac{-1 - 5}{3 - (-6)} [/tex]
[tex] Slope (m) = \frac{-1 - 5}{3 + 6} [/tex]
[tex] Slope (m) = \frac{-6}{9} [/tex]
[tex]Slope (m) = -\frac{2}{3}[/tex]