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Which point lies on the line (x+2y=4)?

Answer and explanation

Correct answer: \((2,1)\)

For the point \((2,1)\), \(x+2y=2+2(1)=4\), so it satisfies the equation \(x+2y=4\) and lies on the line. For \((0,1)\), the left-hand side is \(2\), not \(4\), so it does not lie on the line. Exam tip: Substitute the coordinates in the line equation; a point lies on the line only when the equality is satisfied.

Related tags

Linear InequalitiesBoundary LineCoordinate GeometryPoint On A LineLinear Equation In Two VariablesGraphical Solution Of Linear Inequalities In Two VariablesMathematicsClass 11 Mcq

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