Answer:
The slope of the perpendicular line m =6
Step-by-step explanation:
Step(i):-
Given that the equation of the straight line
2x + 12y =-192
⇒ 12 y = -192 -2x
[tex]y = \frac{-2x}{12}- \frac{192}{12}[/tex]
[tex]y = \frac{-x}{6} - 16[/tex]
y = m x +C
The slope of the given line[tex]m = \frac{-1}{6}[/tex]
Step(ii):-
The slope of the perpendicular line
[tex]\frac{-1}{m}[/tex]
= [tex]\frac{-1}{\frac{-1}{6} }[/tex]
The slope of the perpendicular line m =6
