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In order to find the slope between two points (x1, y1) and (x2, y2), we can use the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]So, for the points (-2, -6) and (9, -2), we have:
[tex]\begin{gathered} m=\frac{-2-(-6)}{9-(-2)} \\ m=\frac{-2+6}{9+2} \\ m=\frac{4}{11} \end{gathered}[/tex]So the slope is 4/11.