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

1 Answer
Alan P.
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

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