The line (y=-3x+c) cuts the (y)-axis at ( (0,9) ). What is (c)?
Answer and explanation
Correct answer: \(9\)
For the line \(y=-3x+c\), the \(y\)-axis has \(x=0\). Hence \(y=-3(0)+c=c\). Since the line meets the \(y\)-axis at \((0,9)\), its \(y\)-coordinate is 9, so \(c=9\). Here, \(-3\) is the slope, not the \(y\)-intercept. Exam tip: in \(y=mx+c\), \(c\) directly gives the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\(9\)
Why is this the correct answer?
For the line \(y=-3x+c\), the \(y\)-axis has \(x=0\). Hence \(y=-3(0)+c=c\). Since the line meets the \(y\)-axis at \((0,9)\), its \(y\)-coordinate is 9, so \(c=9\). Here, \(-3\) is the slope, not the \(y\)-intercept. Exam tip: in \(y=mx+c\), \(c\) directly gives 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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