If (m+c=10) and (c=4) in (y=mx+c), what is the slope?
Answer and explanation
Correct answer: 6
Given \(m+c=10\) and \(c=4\), substitute the value of \(c\): \(m+4=10\). Hence, \(m=6\). In the linear equation \(y=mx+c\), \(m\) represents the slope, so the correct answer is 6. The value 4 is only \(c\), the y-intercept, not the slope. Exam tip: in \(y=mx+c\), the coefficient of \(x\), \(m\), is the slope.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
Given \(m+c=10\) and \(c=4\), substitute the value of \(c\): \(m+4=10\). Hence, \(m=6\). In the linear equation \(y=mx+c\), \(m\) represents the slope, so the correct answer is 6. The value 4 is only \(c\), the y-intercept, not the slope. Exam tip: in \(y=mx+c\), the coefficient of \(x\), \(m\), is 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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