In the line \(y=\frac{5}{2}x-7\), how much will (y) increase when (x) increases by (2)?
Answer and explanation
Correct answer: \(5\)
The slope of \(y=\frac{5}{2}x-7\) is \(\frac{5}{2}\). Therefore, when \(x\) increases by \(2\), the change in \(y\) is \(\frac{5}{2}\times2=5\). Hence, \(5\) is correct. The \(-7\) is the y-intercept and does not affect the rate of increase. Exam tip: for \(y=mx+c\), use \(\Delta y=m\Delta x\).
Frequently asked questions
What is the correct answer to this question?
\(5\)
Why is this the correct answer?
The slope of \(y=\frac{5}{2}x-7\) is \(\frac{5}{2}\). Therefore, when \(x\) increases by \(2\), the change in \(y\) is \(\frac{5}{2}\times2=5\). Hence, \(5\) is correct. The \(-7\) is the y-intercept and does not affect the rate of increase. 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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