Question #1f017

1 Answer
Nov 16, 2017

#-7x=-56y# does represent a direct variation. The constant variation is #1/8#.

Explanation:

Direct variation is one variable is proportionate to the other variable. If you take a closer look at #-7x=-56y#, 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 #-56y# into just y, you need to divide the whole problem by #-56#. This becomes #y=1/8 X#. Remember that a direct variation equation is #y=kx#. #K# is the constant of variation (constant variation). The# k# in #y=1/8 X# is #1/8#.

Hope this helped.