What is the slope of the line \(y=-\frac{2}{5}x+9\)?
Answer and explanation
Correct answer: \(-\frac{2}{5}\)
A line in slope-intercept form is \(y=mx+c\), where \(m\) is the slope. In \(y=-\frac{2}{5}x+9\), the coefficient of \(x\) is \(-\frac{2}{5}\), so the slope is \(-\frac{2}{5}\). The number \(9\) is the y-intercept, not the slope, and \(\frac{2}{5}\) incorrectly omits the negative sign. Exam tip: in \(y=mx+c\), identify the coefficient of \(x\) as the slope.
Frequently asked questions
What is the correct answer to this question?
\(-\frac{2}{5}\)
Why is this the correct answer?
A line in slope-intercept form is \(y=mx+c\), where \(m\) is the slope. In \(y=-\frac{2}{5}x+9\), the coefficient of \(x\) is \(-\frac{2}{5}\), so the slope is \(-\frac{2}{5}\). The number \(9\) is the y-intercept, not the slope, and \(\frac{2}{5}\) incorrectly omits the negative sign. Exam tip: in \(y=mx+c\), identify the coefficient of \(x\) as 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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