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If (m<0) and (c<0) in (y=mx+c), which statement is correct?

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Answer and explanation

Correct answer: The slope is negative and the y-intercept is negative

In the line equation y=mx+c, m represents the slope and c represents the y-intercept. Here m<0, so the slope is negative, and c<0, so the y-intercept is also negative. Therefore, option B is correct. In option A, the y-intercept is negative, but the slope is incorrectly stated as positive. Exam tip: In y=mx+c, the sign of m gives the slope’s sign and the sign of c gives the y-intercept’s sign.

Related tags

Linear EquationsSlopeY-InterceptSignsCoordinate Geometry

Frequently asked questions

What is the correct answer to this question?

The slope is negative and the y-intercept is negative

Why is this the correct answer?

In the line equation y=mx+c, m represents the slope and c represents the y-intercept. Here m<0, so the slope is negative, and c<0, so the y-intercept is also negative. Therefore, option B is correct. In option A, the y-intercept is negative, but the slope is incorrectly stated as positive. Exam tip: In y=mx+c, the sign of m gives the slope’s sign and the sign of c gives the y-intercept’s sign.

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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