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I usually reserve the word "proportional" to y=m*x and use the word
"linear" when y=m*x+b. To make it more acceptable to all I also say
that "if doubling and tripling of x also doubles and triples y, then the
relation is proportional.
Ludwik is correct. This is also the convention used in Woukshop Physics and
Real Time Physics. I have not checked with the math department on this, but
I have not had any comments from students that they do it any differently in
math class either.
Pete Lohstreter