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What are the signs of the slope and the y-intercept in the line y = 11x - 4?

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Answer and explanation

Correct answer: Slope positive and y-intercept negative

Compare y = 11x - 4 with y = mx + b. The coefficient of x is m = 11, which is positive, so the slope is positive. The constant term is b = -4, which is negative, so the y-intercept is negative. Therefore option A is correct. The signs must be read separately; the positive coefficient does not make the constant positive, and the negative constant does not change the slope.

Related tags

Sign AnalysisSlopeY InterceptSlope And Y InterceptIntroduction To PolynomialsMathematicsClass 9 Mcq

Frequently asked questions

What is the correct answer to this question?

Slope positive and y-intercept negative

Why is this the correct answer?

Compare y = 11x - 4 with y = mx + b. The coefficient of x is m = 11, which is positive, so the slope is positive. The constant term is b = -4, which is negative, so the y-intercept is negative. Therefore option A is correct. The signs must be read separately; the positive coefficient does not make the constant positive, and the negative constant does not change the slope.

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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