If the line (y=-(p+1)x+12) decreases (y) by (15) when (x) increases by (3), what is (p)?
Answer and explanation
Correct answer: 4
The slope of the line is \(-(p+1)\). Since an increase of 3 in \(x\) causes a decrease of 15 in \(y\), the slope is \(\frac{-15}{3}=-5\). Therefore, \(-(p+1)=-5\), so \(p+1=5\) and \(p=4\). Option 5 would result from incorrectly taking \(p+1\) as the answer. Exam tip: for change-based questions, find the slope using \(\frac{\Delta y}{\Delta x}\).
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The slope of the line is \(-(p+1)\). Since an increase of 3 in \(x\) causes a decrease of 15 in \(y\), the slope is \(\frac{-15}{3}=-5\). Therefore, \(-(p+1)=-5\), so \(p+1=5\) and \(p=4\). Option 5 would result from incorrectly taking \(p+1\) as the answer. Exam tip: for change-based questions, find the slope using \(\frac{\Delta y}{\Delta x}\).
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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