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Which point on the graph of \(x+6y=36\) is obtained when \(x=0\)?

Answer and explanation

Correct answer: (0, 6)

Substituting \(x=0\) gives \(0+6y=36\), so \(y=6\). Therefore, the point is \((0,6)\), which is the y-intercept of the line. Option C incorrectly takes \(y=36\) without dividing by 6. In an exam, remember: set \(y=0\) to find the x-intercept and \(x=0\) to find the y-intercept.

Related tags

Y InterceptGraph PlottingLinear EquationsGraphical Method Of Finding Solutions.Graphical Method Of Finding SolutionsPair Of Linear Equations In Two VariablesMathematicsClass 10 Mcq

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