Question 917653
Purely academic experience helps to understand Variation and Linear Equations containing a Constant Term to be separate and usually not usually coordinated with each other.


Your given equation can be solved for y in terms of x.
{{{y=-(4/9)x+3.5/9}}}
This shows a RATE relating change of y to change of x.  For the given equation, this rate is a slope, or a constant, but one would not think of it as a proportionality constant for Direct nor Indirect Variation.


I have never seen direct nor indirect variation including any constant TERM.  Direct and indirect variation is always treated as a separate topic from the study of equations for lines; although any such y=kx still does represent a line; but y=k/x  does NOT represent a line.


Have you an exercise problem that expects you to relate direct or indirect variation to a linear equation in standard form which includes a constant TERM?  The exercise is confusing two very separate topics.