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The line (y=4x+b) has (y)-intercept (11). Which equation is correct?

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Answer and explanation

Correct answer: \(y=4x+11\)

In the form \(y=4x+b\), the constant term \(b\) is the \(y\)-intercept. Since the \(y\)-intercept is 11, substituting \(b=11\) gives \(y=4x+11\). Option B has intercept \(-11\), while option D changes the slope to \(-4\). Exam tip: in \(y=mx+c\), identify \(c\) directly as the \(y\)-intercept.

Related tags

Linear EquationsY-InterceptSlope-Intercept FormSubstitutionCoordinate Geometry

Frequently asked questions

What is the correct answer to this question?

\(y=4x+11\)

Why is this the correct answer?

In the form \(y=4x+b\), the constant term \(b\) is the \(y\)-intercept. Since the \(y\)-intercept is 11, substituting \(b=11\) gives \(y=4x+11\). Option B has intercept \(-11\), while option D changes the slope to \(-4\). Exam tip: in \(y=mx+c\), identify \(c\) directly as 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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