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

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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 Equations

Frequently asked questions

What is the correct answer to this question?

(0, 6)

Why is this the correct answer?

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.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..

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