In the line \(y=-\frac{3}{4}x+6\), how much will (y) decrease when (x) increases by (8)?
Answer and explanation
Correct answer: 6
The slope is \(-\frac{3}{4}\), meaning that for every increase of 4 units in \(x\), \(y\) decreases by 3 units. An increase of 8 in \(x\) is two such increases, so \(y\) decreases by \(2\times3=6\). Option 3 would apply only when \(x\) increases by 4. Exam tip: use \(\Delta y=m\Delta x\); a negative change in \(y\) indicates a decrease.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The slope is \(-\frac{3}{4}\), meaning that for every increase of 4 units in \(x\), \(y\) decreases by 3 units. An increase of 8 in \(x\) is two such increases, so \(y\) decreases by \(2\times3=6\). Option 3 would apply only when \(x\) increases by 4. Exam tip: use \(\Delta y=m\Delta x\); a negative change in \(y\) indicates a decrease.
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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