Which line has (y)-intercept (-4)?
Answer and explanation
Correct answer: \(y=3x-4\)
In the form \(y=mx+c\), \(c\) is the \(y\)-intercept because substituting \(x=0\) gives \(y=c\). In \(y=3x-4\), the constant term is \(-4\), so its \(y\)-intercept is \(-4\). In \(y=-4x+3\), \(-4\) is the slope, not the \(y\)-intercept. Exam tip: To find the \(y\)-intercept, put \(x=0\) in the equation.
Frequently asked questions
What is the correct answer to this question?
\(y=3x-4\)
Why is this the correct answer?
In the form \(y=mx+c\), \(c\) is the \(y\)-intercept because substituting \(x=0\) gives \(y=c\). In \(y=3x-4\), the constant term is \(-4\), so its \(y\)-intercept is \(-4\). In \(y=-4x+3\), \(-4\) is the slope, not the \(y\)-intercept. Exam tip: To find the \(y\)-intercept, put \(x=0\) in the equation.
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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