What is the slope of the equation (6x+3y=21)?
Answer and explanation
Correct answer: \(-2\)
Write the equation in slope-intercept form: \(6x+3y=21\Rightarrow 3y=-6x+21\Rightarrow y=-2x+7\). In the form \(y=mx+c\), the coefficient of \(x\), \(m\), is the slope. Therefore, the slope is \(-2\). Here, \(7\) is the y-intercept, not the slope. Exam tip: Convert the equation to \(y=mx+c\) first, then identify the coefficient of \(x\).
Frequently asked questions
What is the correct answer to this question?
\(-2\)
Why is this the correct answer?
Write the equation in slope-intercept form: \(6x+3y=21\Rightarrow 3y=-6x+21\Rightarrow y=-2x+7\). In the form \(y=mx+c\), the coefficient of \(x\), \(m\), is the slope. Therefore, the slope is \(-2\). Here, \(7\) is the y-intercept, not the slope. Exam tip: Convert the equation to \(y=mx+c\) first, then identify the 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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