The line (y=6x+b) has (y)-intercept (13). Which equation is correct?
Answer and explanation
Correct answer: \(y=6x+13\)
The line is in the form \(y=6x+b\), where \(b\) is the \(y\)-intercept. Since the \(y\)-intercept is \(13\), substituting \(b=13\) gives \(y=6x+13\). In option B, the intercept is \(-13\), while in option D the slope becomes \(-6\). Exam tip: in \(y=mx+c\), the constant term \(c\) is the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\(y=6x+13\)
Why is this the correct answer?
The line is in the form \(y=6x+b\), where \(b\) is the \(y\)-intercept. Since the \(y\)-intercept is \(13\), substituting \(b=13\) gives \(y=6x+13\). In option B, the intercept is \(-13\), while in option D the slope becomes \(-6\). Exam tip: in \(y=mx+c\), the constant term \(c\) is 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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