Respuesta :

The general expression for the slope of line passing through two coordintaes are :

[tex]\text{ Slope=}\frac{y_2-y_1}{x_2-x_1}[/tex]

In the given question, two coordinates are : (-2, -6) & ( 2,2)

[tex]\begin{gathered} (x_1,y_1)=(-2,-6) \\ (x_2,y_2)=(2,2) \\ \text{ Substitute the value in the expression of slope:} \\ \text{ Slope=}\frac{y_2-y_1}{x_2-x_1} \\ \text{ Slope=}\frac{2-(-6)}{2-(-2)} \\ \text{ Slope=}\frac{2+6}{2+2} \\ \text{ Slope=}\frac{8}{4} \\ \text{ Slope=2} \end{gathered}[/tex]

Slope = 2

Answer : D) 2

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