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What is the boundary line in terms of (y) for (x-y=4)?

Answer and explanation

Correct answer: \(y=x-4\)

Given \(x-y=4\), moving \(x\) to the other side gives \(-y=4-x\). Multiplying both sides by \(-1\) gives \(y=x-4\). Hence, option D is the boundary line. Option A has the wrong sign for the constant term. Exam tip: When isolating \(y\) with a negative coefficient, change the signs carefully.

Related tags

Linear InequalitiesBoundary LineLinear EquationsSlope Intercept FormCoordinate GeometryClass 11Graphical Solution Of Linear Inequalities In Two VariablesMathematics

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