If (c=-6) and (m-c=14) in (y=mx+c), what is the slope?
Answer and explanation
Correct answer: 8
Given \(c=-6\) and \(m-c=14\), substitute the value of \(c\): \(m-(-6)=14\), so \(m+6=14\). Hence, \(m=8\). Therefore, the slope of the line is 8. Choosing 6 is a common error; it is the magnitude of the negative value of \(c\), not the slope. Exam tip: always use brackets when substituting a negative value in \(m-c\).
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
Given \(c=-6\) and \(m-c=14\), substitute the value of \(c\): \(m-(-6)=14\), so \(m+6=14\). Hence, \(m=8\). Therefore, the slope of the line is 8. Choosing 6 is a common error; it is the magnitude of the negative value of \(c\), not the slope. Exam tip: always use brackets when substituting a negative value in \(m-c\).
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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