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If the line (y=(k-3)x+8) has slope (5), what is the value of (k)?

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Answer and explanation

Correct answer: 8

A line in the form y = mx + c has slope m, the coefficient of x. Here, the coefficient of x is k - 3, so k - 3 = 5. Adding 3 to both sides gives k = 8. Option 2 results from moving 3 to the wrong side. Exam tip: In y = mx + c, identify the complete coefficient of x to find the slope.

Related tags

SlopeLinear EquationsParameterCoefficient Of XCoordinate Geometry

Frequently asked questions

What is the correct answer to this question?

8

Why is this the correct answer?

A line in the form y = mx + c has slope m, the coefficient of x. Here, the coefficient of x is k - 3, so k - 3 = 5. Adding 3 to both sides gives k = 8. Option 2 results from moving 3 to the wrong side. Exam tip: In y = mx + c, identify the complete 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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