Answer: the slope of green line =
![-\frac37](https://img.qammunity.org/2022/formulas/mathematics/high-school/9c51122lyba3a4yeva3j9ke2manfwdkacy.png)
Explanation:
We know that,
If two lines are parallel then their slopes(rate of change of y with respect to x) are equal.
Given: The red line and the green line are parallel.
The slope of red line =
![-\frac37](https://img.qammunity.org/2022/formulas/mathematics/high-school/9c51122lyba3a4yeva3j9ke2manfwdkacy.png)
Then, the slope of green line =
[Slopes of two parallel lines are equal]
Hence, the slope of green line =
![-\frac37](https://img.qammunity.org/2022/formulas/mathematics/high-school/9c51122lyba3a4yeva3j9ke2manfwdkacy.png)