Step-by-step explanation:
Given equation of the line ,
[tex]\implies y =\dfrac{-5}{4}x - 4 [/tex]
Compare it to slope intercept form , which is [tex]y = mx + c [/tex] , we have ,
- [tex] m =\dfrac{-5}{4}[/tex]
As we know that the product of slopes of two perpendicular lines is -1 . Hence the slope of line perpendicular to the given line will be ,
[tex]\implies m_{perp}= \dfrac{4}{5}[/tex]
Since options aren't provided hence the line having a slope of 4/5 , will be perpendicular to the given line .
