Which equation is the direct variation equation if f(x) varies directly with x and f(x)=-2 when x=6

Question 3 options:

f (x)=- 2 x

f (x )=-1 /2 x

f (x )=-6 x

f (x )= -18 x

Given f is a direct variation equation (Direct variation is when one variable is equal to a constant times another variable, with no additions or subtractions alongside).

Now by the above condition let the constant be "c".Then

[tex]f(x)=cx[/tex]

also given that [tex]f(x)=-2[/tex] when[tex]x=6[/tex]

on substituting the above values,

[tex]-2=c(6)[/tex]

[tex]c=-2/6[/tex]

[tex]c=-1/3[/tex]

Therefore our equation is [tex]f(x)=-x/3[/tex]

Which equation is the direct variation equation if f(x) varies directly with x and f(x)=-2 when x=6 Question 3 options: f (x)=- 2 x f (x )=-1 /2 x f (x )=-6 x f (x )= -18 x

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Which equation is the direct variation equation if f(x) varies directly with x and f(x)=-2 when x=6

Question 3 options:

f (x)=- 2 x

f (x )=-1 /2 x

f (x )=-6 x

f (x )= -18 x