Distinguish proportional relationships from linear but non-proportional relationships.
Read proportionality from a rule
Problem
Is \(y~=~6x\) proportional? What is \(y\) when \(x~=~0\)?
Big Picture
What this problem is really about
Read the rule by structure before computing: a proportional equation has only a constant multiplier times the input, with no added nonzero term. Substitute zero for the input to expose the starting value, and connect that result to whether the graph would pass through the origin. The multiplier’s size does not decide proportionality.
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