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The line (y=-9x+c) has (y)-intercept (4). What will (y) be at (x=-3)?
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Answer and explanation
Correct answer: 31
A y-intercept of 4 means that y=4 when x=0, so c=4. Substituting x=-3 gives y=-9(-3)+4=27+4=31. The value 27 is only the product -9×(-3); the intercept 4 must also be added. Exam tip: in y=mx+c, the y-intercept is the constant term c.
Frequently asked questions
What is the correct answer to this question?
31
Why is this the correct answer?
A y-intercept of 4 means that y=4 when x=0, so c=4. Substituting x=-3 gives y=-9(-3)+4=27+4=31. The value 27 is only the product -9×(-3); the intercept 4 must also be added. Exam tip: in y=mx+c, the y-intercept is the constant term c.
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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