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If (m=-3) and (3c+m=18) in (y=mx+c), what is the (y)-intercept?
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Answer and explanation
Correct answer: 7
In the form (y=mx+c), the y-intercept is c. Substituting m=-3 into 3c+m=18 gives 3c-3=18. Hence, 3c=21 and c=7. Therefore, the y-intercept is 7. Option 6 may result from incorrectly ignoring the -3 term. Exam tip: to find the y-intercept, determine the value of c.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
In the form (y=mx+c), the y-intercept is c. Substituting m=-3 into 3c+m=18 gives 3c-3=18. Hence, 3c=21 and c=7. Therefore, the y-intercept is 7. Option 6 may result from incorrectly ignoring the -3 term. Exam tip: to find the y-intercept, determine the value of 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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