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

 Yes , it is direct variation equation.

The constant of variation

Step-by-step explanation:

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

, where k is the constant of proportionality .

The given equation :

When we divide both sides by -6 , we get

Or we can write it as  

Which is in the form of direct variation equation .

By comparing them , the constant of variation becomes :

⇒The constant of variation

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed