Understand that a two-variable equation's graph is the set of all ordered-pair solutions.
Identify listed points that are not solutions
Problem
Test the points \((0,~2),~(3,~5),~\text{and}~(4,~7)\) in \(y~=~x~+~2\), then identify the point that is not a solution.
Big Picture
What this problem is really about
Every listed point needs its own test; one successful point says nothing about the others. For each pair, we’ll use the x-coordinate to compute the output required by the equation and compare it with the listed y-coordinate. The requested non-solution is the pair where those two outputs disagree, not the corrected point we might construct afterward.
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