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What is the y-intercept of the equation \(3x+y=15\)?

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Answer and explanation

Correct answer: \((0,15)\)

To find the y-intercept, put x=0 in the equation. Then \(3(0)+y=15\), so y=15 and the point is \((0,15)\). Option A is the x-intercept because it is obtained by putting y=0. Exam tip: every point on the y-axis has x-coordinate 0.

Tags

pair of linear equationsy interceptgraphical methodcoordinate geometry

Frequently asked questions

What is the correct answer to this question?

\((0,15)\)

Why is this the correct answer?

To find the y-intercept, put x=0 in the equation. Then \(3(0)+y=15\), so y=15 and the point is \((0,15)\). Option A is the x-intercept because it is obtained by putting y=0. Exam tip: every point on the y-axis has x-coordinate 0.

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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