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In the line (y=24-6x), what are the slope and (y)-intercept?

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Answer and explanation

Correct answer: Slope -6, y-intercept 24

Compare the equation with slope-intercept form \(y=mx+c\). The given line can be written as \(y=-6x+24\). Thus, the coefficient of \(x\), \(-6\), is the slope, and the constant term, \(24\), is the y-intercept. Option B has the correct intercept but misses the negative sign in the slope. Exam tip: In \(y=mx+c\), \(m\) is always the coefficient of \(x\).

Related tags

Linear EquationsSlopeY-InterceptSlope-Intercept FormCoordinate Geometry

Frequently asked questions

What is the correct answer to this question?

Slope -6, y-intercept 24

Why is this the correct answer?

Compare the equation with slope-intercept form \(y=mx+c\). The given line can be written as \(y=-6x+24\). Thus, the coefficient of \(x\), \(-6\), is the slope, and the constant term, \(24\), is the y-intercept. Option B has the correct intercept but misses the negative sign in the slope. Exam tip: In \(y=mx+c\), \(m\) is always the coefficient of \(x\).

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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