The line (y=-2x+b) has (y)-intercept (-6). Which equation is correct?
Answer and explanation
Correct answer: \(y=-2x-6\)
In the form \(y=-2x+b\), the constant term \(b\) is the \(y\)-intercept. Since \(b=-6\), substituting it gives \(y=-2x-6\). Option C has the correct intercept but changes the coefficient of \(x\) from \(-2\) to \(+2\). Exam tip: in \(y=mx+c\), \(c\) is directly the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\(y=-2x-6\)
Why is this the correct answer?
In the form \(y=-2x+b\), the constant term \(b\) is the \(y\)-intercept. Since \(b=-6\), substituting it gives \(y=-2x-6\). Option C has the correct intercept but changes the coefficient of \(x\) from \(-2\) to \(+2\). Exam tip: in \(y=mx+c\), \(c\) is directly 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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