In the line (y=-11x+4), what change occurs in (y) when (x) increases by (1)?
Answer and explanation
Correct answer: (y) decreases by 11
The slope of the line is -11. The slope gives the change in (y) for a 1-unit increase in (x). Therefore, when (x) increases by 1, (y) decreases by 11. The constant +4 is only the y-intercept; it does not give the rate of change. Exam tip: In y=mx+c, the change in y for a 1-unit increase in x is m.
Frequently asked questions
What is the correct answer to this question?
(y) decreases by 11
Why is this the correct answer?
The slope of the line is -11. The slope gives the change in (y) for a 1-unit increase in (x). Therefore, when (x) increases by 1, (y) decreases by 11. The constant +4 is only the y-intercept; it does not give the rate of change. Exam tip: In y=mx+c, the change in y for a 1-unit increase in x is m.
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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