Which line has slope (-4)?
Answer and explanation
Correct answer: \(y=-4x+1\)
In the form \(y=mx+c\), the coefficient of \(x\), namely \(m\), is the slope. In \(y=-4x+1\), the coefficient of \(x\) is \(-4\), so its slope is \(-4\). The line \(y=-x+4\) has slope \(-1\), not \(-4\). Exam tip: In \(y=mx+c\), identify the slope by checking the signed coefficient of \(x\).
Frequently asked questions
What is the correct answer to this question?
\(y=-4x+1\)
Why is this the correct answer?
In the form \(y=mx+c\), the coefficient of \(x\), namely \(m\), is the slope. In \(y=-4x+1\), the coefficient of \(x\) is \(-4\), so its slope is \(-4\). The line \(y=-x+4\) has slope \(-1\), not \(-4\). Exam tip: In \(y=mx+c\), identify the slope by checking the signed coefficient of \(x\).
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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