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In the rule (y=2x+7), what does the coefficient of (x) mean?

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Answer and explanation

Correct answer: For every increase of 1 in x, y increases by 2

In the rule y=2x+7, the coefficient of x is 2. It means that y increases by 2 when x increases by 1. The number 7 is the constant term and gives the initial value of y when x=0, so option A describes the constant term, not the coefficient of x. Exam tip: In a linear rule y=mx+c, m is the rate of change (slope) and c is the initial value.

Related tags

Linear EquationsCoefficientRate Of ChangeLinear GrowthPolynomials

Frequently asked questions

What is the correct answer to this question?

For every increase of 1 in x, y increases by 2

Why is this the correct answer?

In the rule y=2x+7, the coefficient of x is 2. It means that y increases by 2 when x increases by 1. The number 7 is the constant term and gives the initial value of y when x=0, so option A describes the constant term, not the coefficient of x. Exam tip: In a linear rule y=mx+c, m is the rate of change (slope) and c is the initial value.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear growth and decay.

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