Which line gives (y=4) at (x=0) and has slope (3)?
Answer and explanation
Correct answer: \(y=3x+4\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. Here, \(m=3\), and \(y=4\) when \(x=0\), so \(c=4\). Therefore, the equation is \(y=3x+4\). In \(y=4x+3\), the slope is 4, so it is not correct. Exam tip: on putting \(x=0\), the resulting value of \(y\) is the constant term.
Frequently asked questions
What is the correct answer to this question?
\(y=3x+4\)
Why is this the correct answer?
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. Here, \(m=3\), and \(y=4\) when \(x=0\), so \(c=4\). Therefore, the equation is \(y=3x+4\). In \(y=4x+3\), the slope is 4, so it is not correct. Exam tip: on putting \(x=0\), the resulting value of \(y\) is the constant term.
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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