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In the line \(y=\frac{2}{3}x+1\), how much will (y) increase when (x) increases by (9)?
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Answer and explanation
Correct answer: 6
The slope of \(y=\frac{2}{3}x+1\) is \(\frac{2}{3}\). Therefore, when \(x\) increases by 9, the increase in \(y\) is \(\frac{2}{3}\times 9=6\). Option 3 would result only if the slope were \(\frac{1}{3}\). Exam tip: for \(y=mx+c\), use \(\Delta y=m\Delta x\).
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The slope of \(y=\frac{2}{3}x+1\) is \(\frac{2}{3}\). Therefore, when \(x\) increases by 9, the increase in \(y\) is \(\frac{2}{3}\times 9=6\). Option 3 would result only if the slope were \(\frac{1}{3}\). Exam tip: for \(y=mx+c\), use \(\Delta y=m\Delta x\).
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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