Question

Determine whether the equation represents a direct variation. If it does, find the constant of variation. 7x = −6y

Answer 1

The constant variation -7/6

Answer 2

Answer:  Yes , it is direct variation equation.

The constant of variation $=\dfrac{-7}{6}$

Step-by-step explanation:

We know that , the equation for the direct variation between two variables x and y is given by :-

$y= kx$ , where k is the constant of proportionality .

The given equation : $7x = -6y$

When we divide both sides by -6 , we get

$\dfrac{7}{-6}x=y$  

Or we can write it as $y=\dfrac{-7}{6}x$  

Which is in the form of direct variation equation $y= kx$.

By comparing them , the constant of variation becomes :

$k=\dfrac{-7}{6}$

⇒The constant of variation $=\dfrac{-7}{6}$