Answer: [tex]m=\dfrac{-1}{5}[/tex]
Step-by-step explanation:
We know that the general intercept form of equation of line is given by :-
[tex]y=mx+c[/tex], where m is the slope of the line.
The given equation of line : [tex] y-5x=5[/tex]
Subtract 5x both sides, we get
[tex] y=5x+5[/tex]
On comparing the equation to the general intercept form of equation of line , we get
Slope =5
Since the product of slopes of perpendicular lines is -1.
Then the slope of line that is perpendicular to the given equation will be :-
[tex]m=\dfrac{-1}{5}[/tex]
