Solve the equations for y. If x lies at the numerator on the other side, then it's direct variation. If it lies at the denominator, its inverse variation.
For example, in the first equation, you have
[tex]y=\dfrac{2}{x}[/tex]
The equation is solved for y, and x is at the denominator, so this is an inverse variation.
As another example, if we solve the third equation for y (i.e. if we divide both sides by 4), we have
[tex]4y=\dfrac{8}{x}\iff y=\dfrac{2}{x}[/tex]
so again this is an inverse variation.
Apply this rule to all equations to tell whether they are direct, inverse or neither.
