The line \(y=\frac{2}{3}x+c\) passes through ( (6,9) ). What is (c)?
Answer and explanation
Correct answer: 5
Since the point \((6,9)\) lies on the line, substitute \(x=6\) and \(y=9\): \(9=\frac{2}{3}\times 6+c=4+c\). Hence, \(c=9-4=5\). Option B, 4, is only the value of \(\frac{2}{3}\times6\), not the y-intercept. Exam tip: To find an unknown constant in a line equation, substitute the coordinates of the given point.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Since the point \((6,9)\) lies on the line, substitute \(x=6\) and \(y=9\): \(9=\frac{2}{3}\times 6+c=4+c\). Hence, \(c=9-4=5\). Option B, 4, is only the value of \(\frac{2}{3}\times6\), not the y-intercept. Exam tip: To find an unknown constant in a line equation, substitute the coordinates of the given point.
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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