What is the slope of the equation (3x-y=6)?
Answer and explanation
Correct answer: \(3\)
Write the equation in slope-intercept form: \(3x-y=6\Rightarrow -y=6-3x\Rightarrow y=3x-6\). In the form \(y=mx+c\), the coefficient \(m\) of \(x\) is the slope, so the slope is \(3\). The option \(-3\) is a common error because multiplying both sides by \(-1\) while isolating \(y\) makes the coefficient of \(x\) positive. Exam tip: convert the equation to \(y=mx+c\) before identifying the slope.
Frequently asked questions
What is the correct answer to this question?
\(3\)
Why is this the correct answer?
Write the equation in slope-intercept form: \(3x-y=6\Rightarrow -y=6-3x\Rightarrow y=3x-6\). In the form \(y=mx+c\), the coefficient \(m\) of \(x\) is the slope, so the slope is \(3\). The option \(-3\) is a common error because multiplying both sides by \(-1\) while isolating \(y\) makes the coefficient of \(x\) positive. Exam tip: convert the equation to \(y=mx+c\) before identifying 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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