Answer:
[tex]m = \frac{2}{3}[/tex]
Step-by-step explanation:
Use the following equation:
slope [tex](m) = \frac{y^2 - y^1}{x^2 - x^1}[/tex]
Set the variables with the points:
[tex](x_1 , y_1) = (-16 , -6)\\(x_2 , y_2) = (-4 , 2)\\[/tex]
Plug in the corresponding numbers to the corresponding variables in the equation:
[tex]m = \frac{2 - (-6)}{-4 - (-16)}[/tex]
[tex]m = \frac{2 - (-6)}{- 4 - (-16)} = \frac{2 + 6}{16 - 4} = \frac{8}{12}[/tex]
slope [tex]m = \frac{8}{12}[/tex] [tex]= \frac{2}{3}[/tex] (simplified)
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