Answer:
C) ![m =\frac{-8}{5}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7B-8%7D%7B5%7D)
The slope of the perpendicular line ![m =\frac{-8}{5}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7B-8%7D%7B5%7D)
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the slope of the given line is
![m =\frac{5}{8}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7B5%7D%7B8%7D)
The slope of the perpendicular line
= ![\frac{-1}{m}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7Bm%7D)
The slope of the perpendicular line
= ![\frac{-1}{\frac{5}{8} }](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B%5Cfrac%7B5%7D%7B8%7D%20%7D)
<u><em>Final answer</em></u>
The slope of the perpendicular line
![m =\frac{-8}{5}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7B-8%7D%7B5%7D)