What is the slope of the line \(y=-\frac{4}{7}x+6\)?
Answer and explanation
Correct answer: \(-\frac{4}{7}\)
A line in slope-intercept form is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. In \(y=-\frac{4}{7}x+6\), the coefficient of \(x\) is \(-\frac{4}{7}\), so the slope is \(-\frac{4}{7}\). The number \(6\) is the y-intercept, not the slope. Exam tip: In \(y=mx+c\), always identify the coefficient of \(x\) as the slope.
Frequently asked questions
What is the correct answer to this question?
\(-\frac{4}{7}\)
Why is this the correct answer?
A line in slope-intercept form is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. In \(y=-\frac{4}{7}x+6\), the coefficient of \(x\) is \(-\frac{4}{7}\), so the slope is \(-\frac{4}{7}\). The number \(6\) is the y-intercept, not the slope. Exam tip: In \(y=mx+c\), always 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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