In the line (y=3x-8), what are the slope and (y)-intercept?
Answer and explanation
Correct answer: Slope 3, y-intercept -8
The standard form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. In \(y=3x-8\), \(m=3\) and \(c=-8\); therefore, the slope is 3 and the y-intercept is -8. Option B incorrectly interchanges the slope and the intercept. Exam tip: identify the coefficient of \(x\) as the slope and the constant term as the y-intercept.
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What is the correct answer to this question?
Slope 3, y-intercept -8
Why is this the correct answer?
The standard form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. In \(y=3x-8\), \(m=3\) and \(c=-8\); therefore, the slope is 3 and the y-intercept is -8. Option B incorrectly interchanges the slope and the intercept. Exam tip: identify the coefficient of \(x\) as the slope and the constant term as the y-intercept.
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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