Determine whether a relationship is proportional from a table, graph, equation, or context.
Check proportionality from an equation
Problem
Does the equation \(y~=~3.5x\) represent a proportional relationship? Answer proportional or not proportional.
Big Picture
What this problem is really about
A proportional equation has one constant multiplier in the form y equals k times x, with no separate amount added or subtracted. We’ll match the given equation to that structure, identify what plays the role of k, and test an input of zero. A decimal multiplier is valid as long as the zero start and constant multiplication remain.
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