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If (y=(4a-1)x+(a+2)) has (y)-intercept (9), what is the slope?

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Answer and explanation

Correct answer: 27

In the form y = mx + c, the y-intercept is c. Here, a + 2 = 9, so a = 7. Therefore, the slope is 4a - 1 = 4(7) - 1 = 27. Getting 28 usually results from an error in the subtraction step. Exam tip: first compare the constant term with the y-intercept to find the parameter, then use the coefficient of x to find the slope.

Related tags

Linear EquationsSlopeY-InterceptParameterCoordinate Geometry

Frequently asked questions

What is the correct answer to this question?

27

Why is this the correct answer?

In the form y = mx + c, the y-intercept is c. Here, a + 2 = 9, so a = 7. Therefore, the slope is 4a - 1 = 4(7) - 1 = 27. Getting 28 usually results from an error in the subtraction step. Exam tip: first compare the constant term with the y-intercept to find the parameter, then use the coefficient of x to find 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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