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What is the (y)-intercept of the equation (2x+3y=12)?

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Answer and explanation

Correct answer: 4

To find the y-intercept, put x=0. Then 2(0)+3y=12, so 3y=12 and y=4. Hence, the line meets the y-axis at 4, so the correct answer is 4. The number 12 is only the constant in the equation, not the y-intercept. Exam tip: always set x=0 to find the y-intercept.

Related tags

Linear EquationsY-InterceptCoordinate GeometrySubstitutionStandard Form

Frequently asked questions

What is the correct answer to this question?

4

Why is this the correct answer?

To find the y-intercept, put x=0. Then 2(0)+3y=12, so 3y=12 and y=4. Hence, the line meets the y-axis at 4, so the correct answer is 4. The number 12 is only the constant in the equation, not the y-intercept. Exam tip: always set x=0 to find the y-intercept.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.

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