What is the slope of the equation (3x+y=11)?
Answer and explanation
Correct answer: \(-3\)
Write the equation in slope-intercept form: \(3x+y=11\Rightarrow y=-3x+11\). In the form \(y=mx+c\), the coefficient of \(x\), namely \(m\), is the slope. Hence, the slope is \(-3\). Choosing \(3\) would miss the sign change when \(3x\) is moved to the other side. Exam tip: First rearrange a linear equation into \(y=mx+c\) before identifying its 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: \(3x+y=11\Rightarrow y=-3x+11\). In the form \(y=mx+c\), the coefficient of \(x\), namely \(m\), is the slope. Hence, the slope is \(-3\). Choosing \(3\) would miss the sign change when \(3x\) is moved to the other side. Exam tip: First rearrange a linear equation into \(y=mx+c\) before identifying its 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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