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In the line (y=3x-8), what are the slope and (y)-intercept?

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Answer and explanation

Correct answer: Slope 3, y-intercept -8

The standard form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. In \(y=3x-8\), \(m=3\) and \(c=-8\); therefore, the slope is 3 and the y-intercept is -8. Option B incorrectly interchanges the slope and the intercept. Exam tip: identify the coefficient of \(x\) as the slope and the constant term as the y-intercept.

Related tags

Linear EquationsSlopeY-InterceptCoordinate GeometryAlgebraGrade 9

Frequently asked questions

What is the correct answer to this question?

Slope 3, y-intercept -8

Why is this the correct answer?

The standard form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. In \(y=3x-8\), \(m=3\) and \(c=-8\); therefore, the slope is 3 and the y-intercept is -8. Option B incorrectly interchanges the slope and the intercept. Exam tip: identify the coefficient of \(x\) as the slope and the constant term 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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