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If the line (y=(k+4)x-2) has slope (9), what is (k)?

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Answer and explanation

Correct answer: \(5\)

A line in the form \(y=mx+c\) has slope \(m\). Here, the coefficient of \(x\) is \(k+4\), so \(k+4=9\). Therefore, \(k=9-4=5\). Option \(9\) is the slope, not the value of \(k\). Exam tip: In \(y=mx+c\), identify the coefficient of \(x\) as the slope.

Related tags

SlopeLinear EquationsCoordinate GeometryParameterAlgebra

Frequently asked questions

What is the correct answer to this question?

\(5\)

Why is this the correct answer?

A line in the form \(y=mx+c\) has slope \(m\). Here, the coefficient of \(x\) is \(k+4\), so \(k+4=9\). Therefore, \(k=9-4=5\). Option \(9\) is the slope, not the value of \(k\). Exam tip: In \(y=mx+c\), identify the coefficient of \(x\) as 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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