Respuesta :

Explanation

The question wants us to find the slope of the green line

To do so, we can use the gradient of line formula to determine the slope of the green line

[tex]\text{slope}=\frac{\text{change in y}}{change\text{ in x}}[/tex]

[tex]\text{slope}=\frac{1-(-5)}{4-2}=\frac{6}{2}=3[/tex]

We can observe that the slope of the green line is also 3

Thus, we can see that parallel lines have the same slope

Hence, the slope of the green line is 3