What is the slope of the line \(y=\frac{4}{3}x-6\)?
Answer and explanation
Correct answer: \(\frac{4}{3}\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope. In \(y=\frac{4}{3}x-6\), the coefficient of \(x\) is \(\frac{4}{3}\), so the slope is \(\frac{4}{3}\). The value \(-6\) is the y-intercept, not the slope. Exam tip: In \(y=mx+c\), the coefficient of \(x\) is always the slope.
Frequently asked questions
What is the correct answer to this question?
\(\frac{4}{3}\)
Why is this the correct answer?
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope. In \(y=\frac{4}{3}x-6\), the coefficient of \(x\) is \(\frac{4}{3}\), so the slope is \(\frac{4}{3}\). The value \(-6\) is the y-intercept, not the slope. Exam tip: In \(y=mx+c\), the coefficient of \(x\) is always 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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