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Which point is obtained on the graph of \(2x+3y=12\) when \(x=0\)?

Answer and explanation

Correct answer: \((0,4)\)

Substituting \(x=0\) gives \(2(0)+3y=12\), so \(3y=12\) and \(y=4\). Therefore, the point is \((0,4)\), which is also the \(y\)-intercept of the line. In option B, the values of \(x\) and \(y\) are interchanged, while C and D do not satisfy the equation. Exam tip: setting \(x=0\) gives the point where the line meets the \(y\)-axis.

Related tags

Linear EquationsY InterceptGraphical MethodCoordinate GeometryGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematics

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