What is the slope of the line \(y=-\frac{5}{9}x+8\)?
Answer and explanation
Correct answer: \(-\frac{5}{9}\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. Here, the coefficient of \(x\) is \(-\frac{5}{9}\), so the slope is \(-\frac{5}{9}\). The number \(8\) is the y-intercept, not the slope. Exam tip: In \(y=mx+c\), identify the number multiplying \(x\) as the slope.
Frequently asked questions
What is the correct answer to this question?
\(-\frac{5}{9}\)
Why is this the correct answer?
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. Here, the coefficient of \(x\) is \(-\frac{5}{9}\), so the slope is \(-\frac{5}{9}\). The number \(8\) is the y-intercept, not the slope. Exam tip: In \(y=mx+c\), identify the number multiplying \(x\) 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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