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Answer :

Apply the slope (m) formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

where:

(x1,y1) = (-6,2)

(x2,y2) = (8,-3)

Replace:

[tex]m=\frac{-3-2}{8-(-6)}=\frac{-5}{8+6}=-\frac{5}{14}[/tex]

slope = -5/14