Is #3x-y=0# a direct variation equation and if so what is the constant?

1 Answer
Apr 25, 2016

#3x-y=0# is a direct variation equation
with a constant of #3#

Explanation:

#3x-y=0#
is equivalent to #y=3x# which is one of the standard direct variation forms.

For a direct variation if #(hatx,haty)# is a solution to #3x-y=0# then #(n*hatx,n*haty)# is also a solution.
.
For example #(1,-3)# is a solution so #(13xx1,13xx(-3))=(13,-39)# is also a solution is also a solution since #3x-y=0# is a direct variation.