Question

6x - 5y = - 4Direct variationХ5?k=Not direct variation2y = 14xDirect variationk ==Not direct variation

Answer 1

Direct Variation is of the form (directly proportional);

`\begin{gathered} y\propto x \\ y=kx \end{gathered}`

While indirect variation (inversely proportional) is of the form;

`\begin{gathered} y\propto(1)/(x) \\ y=(k)/(x) \end{gathered}`

So, for each of the given question we want to determine if they are direct or indirect variation;

1.

`\begin{gathered} 6x-5y=-4 \\ -5y=-4-6x \\ -5y=-6x-4 \\ y=(-6x-4)/(-5) \\ y=(6)/(5)x+(4)/(5) \end{gathered}`

Therefore, this is a Direct variation with proportionality constant;

`k=(6)/(5)`

2.

`\begin{gathered} 2y=14x \\ y=(14x)/(2) \\ y=7x \end{gathered}`

Therefore, this is a Direct variation with proportionality constant;

`k=7`