Is #-x+4y=-2# a direct variation equation and if so what is the constant?

1 Answer
Feb 19, 2016

#-x+4y=-2# is not a direct variation equation.

Explanation:

Any equation which is a direct variation must be re-arrangeable into the form: #y=cx# for some constant #c#.
That is not true of the given equation.

One way to see this is to note that #(x,y)=(0,0)# must be a valid solution for any direct variation equation.
Replacing #x# and #y# with #0#'s in the given equation:
#color(white)("XXX")-0+4(0) = 0 != -2#