If the slope is (-3) and (m+c=5) in (y=mx+c), what is the (y)-intercept?
Answer and explanation
Correct answer: 8
In the form y=mx+c, m is the slope and c is the y-intercept. Given m=-3, substitute it into m+c=5: -3+c=5, so c=8. Therefore, the y-intercept is 8. The value -8 can result from a sign error; moving -3 to the other side means adding 3. Exam tip: isolate c to find the y-intercept.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
In the form y=mx+c, m is the slope and c is the y-intercept. Given m=-3, substitute it into m+c=5: -3+c=5, so c=8. Therefore, the y-intercept is 8. The value -8 can result from a sign error; moving -3 to the other side means adding 3. Exam tip: isolate 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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