# Is 8y=x a direct variation, inverse variation, joint or neither?

Jun 21, 2015

The variation is direct.

#### Explanation:

8color(red)(y=x
so, $x = k y$
Here $\textcolor{red}{x , y}$ are variables and color(blue)(8 is the constant which is a fixed value for the variation.

Starting by assigning a set of values to $y$

• Let $y = 1 , x = \left(\textcolor{b l u e}{k} . y\right) = \textcolor{b l u e}{8} \times \textcolor{red}{\left(1\right)} = 8$
• Let $y = 2 , x = \textcolor{b l u e}{8} \times \textcolor{red}{\left(2\right)} = 16$
• Let $y = 3 , x = \textcolor{b l u e}{8} \times \textcolor{red}{\left(3\right)} = 24$

Observing the trend in values of $x$ and $y$ we can conclude that the variation is direct because as one variable ($y$) increases so does the other variable($x$).