If (m=-2) and (2c+m=10) in (y=mx+c), what is the (y)-intercept?
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Answer and explanation
Correct answer: 6
Given m=-2 and 2c+m=10, substituting m gives 2c-2=10. Hence, 2c=12 and c=6. In the line y=mx+c, the y-intercept is c, so the correct answer is 6. Choosing 5 is incorrect because it does not satisfy 2c-2=10. Exam tip: In y=mx+c, identify the constant term c to find the y-intercept.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
Given m=-2 and 2c+m=10, substituting m gives 2c-2=10. Hence, 2c=12 and c=6. In the line y=mx+c, the y-intercept is c, so the correct answer is 6. Choosing 5 is incorrect because it does not satisfy 2c-2=10. Exam tip: In y=mx+c, identify the constant term c to find the y-intercept.
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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