Answer:
The slope of the dashed line is
![-(1)/(4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/zfbv14ha6kbqlda3ngzvbyhg6e5hwrwbjt.png)
Explanation:
Perpendicular lines and slopes:
If two lines are perpendicular, the multiplication of their slopes is -1.
What is the slope of the dashed line
Perpendicular to a line with slope 4, so:
![4m = -1](https://img.qammunity.org/2022/formulas/mathematics/college/dsnxuxtlcn84477at1ckucd7o7dji6qvqq.png)
![m = -(1)/(4)](https://img.qammunity.org/2022/formulas/mathematics/college/gnn6qyy6kbhvbvuucq2ix8x98wxsz70hf7.png)
The slope of the dashed line is
![-(1)/(4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/zfbv14ha6kbqlda3ngzvbyhg6e5hwrwbjt.png)