If (m+c=12) and (c=5) in (y=mx+c), what is the slope?
Answer and explanation
Correct answer: \(7\)
Given \(m+c=12\) and \(c=5\), substituting the value of \(c\) gives \(m+5=12\). Hence, \(m=7\). In the equation \(y=mx+c\), \(m\) represents the slope, so the correct answer is \(7\). The value \(5\) is the y-intercept \(c\), not the slope. Exam tip: In \(y=mx+c\), the coefficient of \(x\), namely \(m\), is always the slope.
Frequently asked questions
What is the correct answer to this question?
\(7\)
Why is this the correct answer?
Given \(m+c=12\) and \(c=5\), substituting the value of \(c\) gives \(m+5=12\). Hence, \(m=7\). In the equation \(y=mx+c\), \(m\) represents the slope, so the correct answer is \(7\). The value \(5\) is the y-intercept \(c\), not the slope. Exam tip: In \(y=mx+c\), the coefficient of \(x\), namely \(m\), is always the slope.
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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