In the line \(y=\frac{7}{3}x-4\), how much will (y) increase when (x) increases by (3)?
Answer and explanation
Correct answer: 7
The slope of \(y=\frac{7}{3}x-4\) is \(\frac{7}{3}\), so for every 1-unit increase in \(x\), \(y\) increases by \(\frac{7}{3}\) units. Therefore, when \(x\) increases by 3, the increase in \(y\) is \(\frac{7}{3}\times 3=7\). The \(-4\) is the y-intercept and does not affect the change. Exam tip: multiply the slope by the change in \(x\) to find the change in \(y\).
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
The slope of \(y=\frac{7}{3}x-4\) is \(\frac{7}{3}\), so for every 1-unit increase in \(x\), \(y\) increases by \(\frac{7}{3}\) units. Therefore, when \(x\) increases by 3, the increase in \(y\) is \(\frac{7}{3}\times 3=7\). The \(-4\) is the y-intercept and does not affect the change. Exam tip: multiply the slope by the change in \(x\) to find the change in \(y\).
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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