In the line (y=-6x+13), what change occurs in (y) when (x) increases by (1)?
Answer and explanation
Correct answer: (y) decreases by 6
The line is in the form y=mx+c, where m is the slope. Here, m=-6. Therefore, when x increases by 1, the change in y is -6, meaning y decreases by 6. The number 13 is the y-intercept; it does not give the change in y for a one-unit change in x. Exam tip: In y=mx+c, the change in y for an increase of 1 in x is exactly m.
Frequently asked questions
What is the correct answer to this question?
(y) decreases by 6
Why is this the correct answer?
The line is in the form y=mx+c, where m is the slope. Here, m=-6. Therefore, when x increases by 1, the change in y is -6, meaning y decreases by 6. The number 13 is the y-intercept; it does not give the change in y for a one-unit change in x. Exam tip: In y=mx+c, the change in y for an increase of 1 in x is exactly 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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