# Question #1f017

Nov 16, 2017

$- 7 x = - 56 y$ does represent a direct variation. The constant variation is $\frac{1}{8}$.

#### Explanation:

Direct variation is one variable is proportionate to the other variable. If you take a closer look at $- 7 x = - 56 y$, you can see that these two are proportionate if you divide by $- 7$ or $- 56$.

You can also come to this conclusion by noting that there are no y-variable and $x$-variable without getting the origin. A line with direct variation goes through the origin.

To find the constant variation, you want the y to be free of any coefficient. To make $- 56 y$ into just y, you need to divide the whole problem by $- 56$. This becomes $y = \frac{1}{8} X$. Remember that a direct variation equation is $y = k x$. $K$ is the constant of variation (constant variation). The$k$ in $y = \frac{1}{8} X$ is $\frac{1}{8}$.

Hope this helped.