If (y=3x+c) has (y)-intercept (2), what will (y) be at (x=4)?
Answer and explanation
Correct answer: 14
The y-intercept is 2, so the constant in the equation is \(c=2\). Substituting \(x=4\), we get \(y=3\times4+2=14\). Therefore, 14 is correct. The value 12 is only \(3\times4\); the y-intercept 2 must also be added. Exam tip: in \(y=mx+c\), the y-intercept is always \(c\).
Frequently asked questions
What is the correct answer to this question?
14
Why is this the correct answer?
The y-intercept is 2, so the constant in the equation is \(c=2\). Substituting \(x=4\), we get \(y=3\times4+2=14\). Therefore, 14 is correct. The value 12 is only \(3\times4\); the y-intercept 2 must also be added. Exam tip: in \(y=mx+c\), the y-intercept is always \(c\).
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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