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What is the (y)-intercept of the line \(y=\frac{9}{4}x+2\)?
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Answer and explanation
Correct answer: \(2\)
A line in the form \(y=mx+c\) has \(c\) as its \(y\)-intercept. Here, \(c=2\), so the \(y\)-intercept is \(2\); the line meets the \(y\)-axis at \((0,2)\). \(\frac{9}{4}\) is the slope, not the intercept. Exam tip: put \(x=0\) to find the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\(2\)
Why is this the correct answer?
A line in the form \(y=mx+c\) has \(c\) as its \(y\)-intercept. Here, \(c=2\), so the \(y\)-intercept is \(2\); the line meets the \(y\)-axis at \((0,2)\). \(\frac{9}{4}\) is the slope, not the intercept. Exam tip: put \(x=0\) to find 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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