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If the line (y=mx+c) cuts the (y)-axis at ((0,-2)), what is (c)?
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Answer and explanation
Correct answer: -2
In the form \(y=mx+c\), \(c\) is the y-intercept, meaning the value of \(y\) when \(x=0\). At the given point \((0,-2)\), \(y=-2\); therefore, \(c=-2\). Option \(2\) results from a sign error. Exam tip: in \(y=mx+c\), the y-intercept is directly \(c\).
Frequently asked questions
What is the correct answer to this question?
-2
Why is this the correct answer?
In the form \(y=mx+c\), \(c\) is the y-intercept, meaning the value of \(y\) when \(x=0\). At the given point \((0,-2)\), \(y=-2\); therefore, \(c=-2\). Option \(2\) results from a sign error. Exam tip: in \(y=mx+c\), the y-intercept is directly \(c\).
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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