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Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Use the following formula:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (-2 , -8)\\(x_2 , y_2) = (6 , -4)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 - (-8)}{6 - (-2)} = \frac{-4 + 8}{6 + 2} = \frac{4}{8}[/tex]
Simplify the slope:
[tex](\frac{4}{8} )/(\frac{4}{4}) = \frac{1}{2}[/tex]
[tex]\frac{1}{2}[/tex] is your answer.