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The line (y=-5x+c) cuts the (y)-axis at ( (0,12) ). What is (c)?
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Answer and explanation
Correct answer: \(12\)
To find the \(y\)-intercept of \(y=-5x+c\), put \(x=0\). Then \(y=-5(0)+c=c\). Since the given point is \((0,12)\), \(c=12\). The value \(-5\) is the slope of the line, not its \(y\)-intercept. Exam tip: in \(y=mx+c\), \(c\) is the \(y\)-intercept directly.
Frequently asked questions
What is the correct answer to this question?
\(12\)
Why is this the correct answer?
To find the \(y\)-intercept of \(y=-5x+c\), put \(x=0\). Then \(y=-5(0)+c=c\). Since the given point is \((0,12)\), \(c=12\). The value \(-5\) is the slope of the line, not its \(y\)-intercept. Exam tip: in \(y=mx+c\), \(c\) is the \(y\)-intercept directly.
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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