Answer: Yes , it is direct variation equation.
The constant of variation [tex]=\dfrac{-7}{6}[/tex]
Step-by-step explanation:
We know that , the equation for the direct variation between two variables x and y is given by :-
[tex]y= kx[/tex] , where k is the constant of proportionality .
The given equation : [tex]7x = -6y[/tex]
When we divide both sides by -6 , we get
[tex]\dfrac{7}{-6}x=y[/tex]
Or we can write it as [tex]y=\dfrac{-7}{6}x[/tex]
Which is in the form of direct variation equation [tex]y= kx[/tex].
By comparing them , the constant of variation becomes :
[tex]k=\dfrac{-7}{6}[/tex]
⇒The constant of variation [tex]=\dfrac{-7}{6}[/tex]
