If the line (y=mx+c) cuts the (y)-axis at ( (0,6) ), what is (c)?
Answer and explanation
Correct answer: 6
In the form \(y=mx+c\), \(c\) is the \(y\)-intercept. At the point where the line meets the \(y\)-axis, \(x=0\). Substituting the given point \((0,6)\) gives \(6=m(0)+c\), so \(c=6\). It would be \(-6\) only if the line met the \(y\)-axis at \((0,-6)\). Exam tip: in \(y=mx+c\), the constant term \(c\) directly gives the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
In the form \(y=mx+c\), \(c\) is the \(y\)-intercept. At the point where the line meets the \(y\)-axis, \(x=0\). Substituting the given point \((0,6)\) gives \(6=m(0)+c\), so \(c=6\). It would be \(-6\) only if the line met the \(y\)-axis at \((0,-6)\). Exam tip: in \(y=mx+c\), the constant term \(c\) 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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