Understand that a two-variable equation's graph is the set of all ordered-pair solutions.
Test whether an ordered pair satisfies an equation
Problem
Test \((4,14)\) in \(y=3x+2\).
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What this problem is really about
An ordered pair supplies values for both variables, with the input first and the output second. We’ll substitute each coordinate into its matching position, evaluate the expression that predicts the output, and compare that prediction with the pair’s stated output. The point belongs to the equation’s graph exactly when this substitution produces a true equality.
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