The line (y=4x+c) passes through ( (3,19) ). What is its (y)-intercept?
Answer and explanation
Correct answer: 7
The equation is \(y=4x+c\), where \(c\) represents the \(y\)-intercept. Substituting the given point \((3,19)\) gives \(19=4\times3+c\). Thus, \(19=12+c\), so \(c=7\). Hence, the \(y\)-intercept is 7. Option 19 is the y-coordinate of the given point, not the intercept. Exam tip: In \(y=mx+c\), \(c\) directly represents the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
The equation is \(y=4x+c\), where \(c\) represents the \(y\)-intercept. Substituting the given point \((3,19)\) gives \(19=4\times3+c\). Thus, \(19=12+c\), so \(c=7\). Hence, the \(y\)-intercept is 7. Option 19 is the y-coordinate of the given point, not the intercept. Exam tip: In \(y=mx+c\), \(c\) directly represents 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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